38860329553920 has 1664 divisors, whose sum is σ = 161859402240000. Its totient is φ = 8841219932160.

The previous prime is 38860329553907. The next prime is 38860329553931. The reversal of 38860329553920 is 2935592306883.

38860329553920 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 0 + 3 + 2 + 95 + 539 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62779207371 + ... + 62779207989.

Almost surely, 2^{38860329553920} is an apocalyptic number.

38860329553920 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 38860329553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80929701120000).

38860329553920 is an abundant number, since it is smaller than the sum of its proper divisors (122999072686080).

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

38860329553920 is an equidigital number, since it uses as much as digits as its factorization.

38860329553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 38860329553920 in words is "thirty-eight trillion, eight hundred sixty billion, three hundred twenty-nine million, five hundred fifty-three thousand, nine hundred twenty".