38643691852800 has 528 divisors, whose sum is σ = 142117586481600. Its totient is φ = 10289944166400.

The previous prime is 38643691852781. The next prime is 38643691852819. The reversal of 38643691852800 is 825819634683.

It is a happy number.

38643691852800 is a `hidden beast` number, since 3 + 8 + 6 + 43 + 69 + 1 + 8 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38643691852781) and next prime (38643691852819).

It is a super-2 number, since 2×38643691852800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477578746 + ... + 477659654.

Almost surely, 2^{38643691852800} is an apocalyptic number.

38643691852800 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 38643691852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71058793240800).

38643691852800 is an abundant number, since it is smaller than the sum of its proper divisors (103473894628800).

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

38643691852800 is a wasteful number, since it uses less digits than its factorization.

38643691852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81639 (or 81610 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 38643691852800 in words is "thirty-eight trillion, six hundred forty-three billion, six hundred ninety-one million, eight hundred fifty-two thousand, eight hundred".