3901138560 has 384 divisors, whose sum is σ = 15340440960. Its totient is φ = 904273920.

The previous prime is 3901138543. The next prime is 3901138607. The reversal of 3901138560 is 658311093.

It is a happy number.

3901138560 is a `hidden beast` number, since 3 + 90 + 1 + 1 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1455942 + ... + 1458618.

It is an arithmetic number, because the mean of its divisors is an integer number (39949065).

Almost surely, 2^3901138560 is an apocalyptic number.

3901138560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3901138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7670220480).

3901138560 is an abundant number, since it is smaller than the sum of its proper divisors (11439302400).

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

3901138560 is a wasteful number, since it uses less digits than its factorization.

3901138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3901138560 is about 62459.0950943095. The cubic root of 3901138560 is about 1574.2140780353.

The spelling of 3901138560 in words is "three billion, nine hundred one million, one hundred thirty-eight thousand, five hundred sixty".