3902088960 has 864 divisors, whose sum is σ = 17356405248. Its totient is φ = 785940480.

The previous prime is 3902088899. The next prime is 3902088991. The reversal of 3902088960 is 698802093.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47013079 + ... + 47013161.

It is an arithmetic number, because the mean of its divisors is an integer number (20088432).

Almost surely, 2^3902088960 is an apocalyptic number.

3902088960 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 3902088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678202624).

3902088960 is an abundant number, since it is smaller than the sum of its proper divisors (13454316288).

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

3902088960 is a wasteful number, since it uses less digits than its factorization.

3902088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3902088960 is about 62466.7028103773. The cubic root of 3902088960 is about 1574.3419049553.

The spelling of 3902088960 in words is "three billion, nine hundred two million, eighty-eight thousand, nine hundred sixty".