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3780375648 = 25379535903
BaseRepresentation
bin1110000101010011…
…1111010001100000
3100202110102222110220
43201110333101200
530220234010043
61423042323040
7162452443230
oct34124772140
910673388426
103780375648
11166aa181a5
12896059480
13483285c8a
1427c103cc0
15171d41483
hexe153f460

3780375648 has 96 divisors (see below), whose sum is σ = 11354950656. Its totient is φ = 1078791168.

The previous prime is 3780375559. The next prime is 3780375653. The reversal of 3780375648 is 8465730873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3780375648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637465 + ... + 643367.

It is an arithmetic number, because the mean of its divisors is an integer number (118280736).

Almost surely, 23780375648 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 3780375648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677475328).

3780375648 is an abundant number, since it is smaller than the sum of its proper divisors (7574575008).

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

3780375648 is a wasteful number, since it uses less digits than its factorization.

3780375648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The square root of 3780375648 is about 61484.7594774510. The cubic root of 3780375648 is about 1557.7998306986.

The spelling of 3780375648 in words is "three billion, seven hundred eighty million, three hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 953 1906 2859 3812 5718 5903 6671 7624 11436 11806 13342 15248 17709 20013 22872 23612 26684 30496 35418 40026 41321 45744 47224 53368 70836 80052 82642 91488 94448 106736 123963 141672 160104 165284 188896 213472 247926 283344 320208 330568 495852 566688 640416 661136 991704 1322272 1983408 3966816 5625559 11251118 16876677 22502236 33753354 39378913 45004472 67506708 78757826 90008944 118136739 135013416 157515652 180017888 236273478 270026832 315031304 472546956 540053664 630062608 945093912 1260125216 1890187824 3780375648