3860775072000 has 5184 divisors, whose sum is σ = 19847370816000. Its totient is φ = 715309056000.

The previous prime is 3860775071971. The next prime is 3860775072023. The reversal of 3860775072000 is 2705770683.

3860775072000 is a `hidden beast` number, since 38 + 607 + 7 + 5 + 0 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 203198687991 + ... + 203198688009.

Almost surely, 2^{3860775072000} is an apocalyptic number.

3860775072000 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 3860775072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923685408000).

3860775072000 is an abundant number, since it is smaller than the sum of its proper divisors (15986595744000).

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

3860775072000 is a wasteful number, since it uses less digits than its factorization.

3860775072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 3860775072000 in words is "three trillion, eight hundred sixty billion, seven hundred seventy-five million, seventy-two thousand".