3600057871872 has 1600 divisors, whose sum is σ = 13860527155200. Its totient is φ = 903333150720.

The previous prime is 3600057871849. The next prime is 3600057871967. The reversal of 3600057871872 is 2781787500063.

3600057871872 is a `hidden beast` number, since 3 + 60 + 0 + 0 + 578 + 7 + 1 + 8 + 7 + 2 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 15063003529 + ... + 15063003767.

It is an arithmetic number, because the mean of its divisors is an integer number (8662829472).

Almost surely, 2^{3600057871872} is an apocalyptic number.

3600057871872 is a gapful number since it is divisible by the number (32) 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 3600057871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930263577600).

3600057871872 is an abundant number, since it is smaller than the sum of its proper divisors (10260469283328).

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

3600057871872 is a wasteful number, since it uses less digits than its factorization.

3600057871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 3600057871872 in words is "three trillion, six hundred billion, fifty-seven million, eight hundred seventy-one thousand, eight hundred seventy-two".