3908896156704 has 768 divisors, whose sum is σ = 13234552934400. Its totient is φ = 980995276800.

The previous prime is 3908896156657. The next prime is 3908896156723. The reversal of 3908896156704 is 4076516988093.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10313709987 + ... + 10313710365.

It is an arithmetic number, because the mean of its divisors is an integer number (17232490800).

Almost surely, 2^{3908896156704} 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 3908896156704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617276467200).

3908896156704 is an abundant number, since it is smaller than the sum of its proper divisors (9325656777696).

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

3908896156704 is a wasteful number, since it uses less digits than its factorization.

3908896156704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 3908896156704 in words is "three trillion, nine hundred eight billion, eight hundred ninety-six million, one hundred fifty-six thousand, seven hundred four".