3887573031072 has 48 divisors (see below), whose sum is σ = 11338754676480. Its totient is φ = 1295857676736.

The previous prime is 3887573031031. The next prime is 3887573031101. The reversal of 3887573031072 is 2701303757883.

3887573031072 is a `hidden beast` number, since 38 + 8 + 7 + 573 + 0 + 31 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3887573031072² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2249752048 + ... + 2249753775.

It is an arithmetic number, because the mean of its divisors is an integer number (236224055760).

Almost surely, 2^{3887573031072} is an apocalyptic number.

3887573031072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3887573031072 is an abundant number, since it is smaller than the sum of its proper divisors (7451181645408).

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

3887573031072 is a wasteful number, since it uses less digits than its factorization.

3887573031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499505842 (or 4499505828 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 3887573031072 in words is "three trillion, eight hundred eighty-seven billion, five hundred seventy-three million, thirty-one thousand, seventy-two".