38962668960 has 72 divisors (see below), whose sum is σ = 132960112740. Its totient is φ = 10390044672.

The previous prime is 38962668937. The next prime is 38962668967. The reversal of 38962668960 is 6986626983.

38962668960 is a `hidden beast` number, since 389 + 62 + 66 + 89 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38962022544 + 646416 = 197388^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38962668967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13527265 + ... + 13530144.

Almost surely, 2^38962668960 is an apocalyptic number.

38962668960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38962668960 is an abundant number, since it is smaller than the sum of its proper divisors (93997443780).

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

38962668960 is a wasteful number, since it uses less digits than its factorization.

38962668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27057430 (or 27057419 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 38962668960 in words is "thirty-eight billion, nine hundred sixty-two million, six hundred sixty-eight thousand, nine hundred sixty".