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3745031680 = 29513432617
BaseRepresentation
bin1101111100111000…
…1010011000000000
3100122222221022200001
43133032022120000
530132212003210
61415341005344
7161543146465
oct33716123000
910588838601
103745031680
111651a77805
12886253854
13478b5c7a0
1427754366c
1516dbae03a
hexdf38a600

3745031680 has 160 divisors (see below), whose sum is σ = 9898678944. Its totient is φ = 1350107136.

The previous prime is 3745031669. The next prime is 3745031681. The reversal of 3745031680 is 861305473.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745031681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429732 + ... + 1432348.

Almost surely, 23745031680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949339472).

3745031680 is an abundant number, since it is smaller than the sum of its proper divisors (6153647264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3745031680 is a wasteful number, since it uses less digits than its factorization.

3745031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 3745031680 is about 61196.6639613631. The cubic root of 3745031680 is about 1552.9298286140.

The spelling of 3745031680 in words is "three billion, seven hundred forty-five million, thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 80 86 104 128 130 160 172 208 215 256 260 320 344 416 430 512 520 559 640 688 832 860 1040 1118 1280 1376 1664 1720 2080 2236 2560 2617 2752 2795 3328 3440 4160 4472 5234 5504 5590 6656 6880 8320 8944 10468 11008 11180 13085 13760 16640 17888 20936 22016 22360 26170 27520 33280 34021 35776 41872 44720 52340 55040 68042 71552 83744 89440 104680 110080 112531 136084 143104 167488 170105 178880 209360 225062 272168 286208 334976 340210 357760 418720 450124 544336 562655 669952 680420 715520 837440 900248 1088672 1125310 1339904 1360840 1431040 1462903 1674880 1800496 2177344 2250620 2721680 2925806 3349760 3600992 4354688 4501240 5443360 5851612 6699520 7201984 7314515 8709376 9002480 10886720 11703224 14403968 14629030 17418752 18004960 21773440 23406448 28807936 29258060 36009920 43546880 46812896 57615872 58516120 72019840 87093760 93625792 117032240 144039680 187251584 234064480 288079360 374503168 468128960 749006336 936257920 1872515840 3745031680