38217886656900 has 72 divisors (see below), whose sum is σ = 111239223775680. Its totient is φ = 10130409863040.

The previous prime is 38217886656899. The next prime is 38217886657033. The reversal of 38217886656900 is 965668871283.

It is a happy number.

It is a super-4 number, since 4×38217886656900⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381365935 + ... + 381466134.

Almost surely, 2^{38217886656900} is an apocalyptic number.

38217886656900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38217886656900 is an abundant number, since it is smaller than the sum of its proper divisors (73021337118780).

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

38217886656900 is a wasteful number, since it uses less digits than its factorization.

38217886656900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762832253 (or 762832246 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 38217886656900 in words is "thirty-eight trillion, two hundred seventeen billion, eight hundred eighty-six million, six hundred fifty-six thousand, nine hundred".