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3740608896 = 27380912041
BaseRepresentation
bin1101111011110101…
…0010100110000000
3100122200121121202020
43132331102212000
530130043441041
61415102121440
7161460436203
oct33675224600
910580547666
103740608896
11164a526912
12884880280
13477c7165b
14276b1193a
1516d5d8866
hexdef52980

3740608896 has 64 divisors (see below), whose sum is σ = 9949100400. Its totient is φ = 1245224960.

The previous prime is 3740608871. The next prime is 3740608897. The reversal of 3740608896 is 6988060473.

3740608896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740608897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304636 + ... + 316676.

Almost surely, 23740608896 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 3740608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974550200).

3740608896 is an abundant number, since it is smaller than the sum of its proper divisors (6208491504).

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

3740608896 is a wasteful number, since it uses less digits than its factorization.

3740608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12867 (or 12855 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 3740608896 is about 61160.5174602047. The cubic root of 3740608896 is about 1552.3182646976.

The spelling of 3740608896 in words is "three billion, seven hundred forty million, six hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 809 1618 2427 3236 4854 6472 9708 12041 12944 19416 24082 25888 36123 38832 48164 51776 72246 77664 96328 103552 144492 155328 192656 288984 310656 385312 577968 770624 1155936 1541248 2311872 4623744 9741169 19482338 29223507 38964676 58447014 77929352 116894028 155858704 233788056 311717408 467576112 623434816 935152224 1246869632 1870304448 3740608896