38675775027120 has 640 divisors, whose sum is σ = 150678667376640. Its totient is φ = 7972303011840.

The previous prime is 38675775027089. The next prime is 38675775027143. The reversal of 38675775027120 is 2172057757683.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1172225344 + ... + 1172258336.

It is an arithmetic number, because the mean of its divisors is an integer number (235435417776).

Almost surely, 2^{38675775027120} is an apocalyptic number.

38675775027120 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 38675775027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75339333688320).

38675775027120 is an abundant number, since it is smaller than the sum of its proper divisors (112002892349520).

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

38675775027120 is a wasteful number, since it uses less digits than its factorization.

38675775027120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33533 (or 33527 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 60.

The spelling of 38675775027120 in words is "thirty-eight trillion, six hundred seventy-five billion, seven hundred seventy-five million, twenty-seven thousand, one hundred twenty".