3962138880 has 144 divisors (see below), whose sum is σ = 14461905024. Its totient is φ = 905625600.

The previous prime is 3962138857. The next prime is 3962138899. The reversal of 3962138880 is 888312693.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46821 + ... + 100580.

It is an arithmetic number, because the mean of its divisors is an integer number (100429896).

Almost surely, 2^3962138880 is an apocalyptic number.

3962138880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3962138880 is an abundant number, since it is smaller than the sum of its proper divisors (10499766144).

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

3962138880 is a wasteful number, since it uses less digits than its factorization.

3962138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147432 (or 147418 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 3962138880 is about 62945.5231132445. The cubic root of 3962138880 is about 1582.3767679047.

The spelling of 3962138880 in words is "three billion, nine hundred sixty-two million, one hundred thirty-eight thousand, eight hundred eighty".