3887309112960 has 2048 divisors, whose sum is σ = 16336502784000. Its totient is φ = 780337152000.

The previous prime is 3887309112959. The next prime is 3887309112979. The reversal of 3887309112960 is 692119037883.

It is a super-2 number, since 2×3887309112960² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3887309112960.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25743768885 + ... + 25743769035.

It is an arithmetic number, because the mean of its divisors is an integer number (7976808000).

Almost surely, 2^{3887309112960} is an apocalyptic number.

3887309112960 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 3887309112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168251392000).

3887309112960 is an abundant number, since it is smaller than the sum of its proper divisors (12449193671040).

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

3887309112960 is a wasteful number, since it uses less digits than its factorization.

3887309112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 3887309112960 in words is "three trillion, eight hundred eighty-seven billion, three hundred nine million, one hundred twelve thousand, nine hundred sixty".