3908237161920 has 1680 divisors, whose sum is σ = 15998494556160. Its totient is φ = 807746494464.

The previous prime is 3908237161909. The next prime is 3908237161951. The reversal of 3908237161920 is 291617328093.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30773520897 + ... + 30773521023.

Almost surely, 2^{3908237161920} is an apocalyptic number.

3908237161920 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 3908237161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999247278080).

3908237161920 is an abundant number, since it is smaller than the sum of its proper divisors (12090257394240).

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

3908237161920 is a wasteful number, since it uses less digits than its factorization.

3908237161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 3908237161920 in words is "three trillion, nine hundred eight billion, two hundred thirty-seven million, one hundred sixty-one thousand, nine hundred twenty".