3712874832576 has 1120 divisors, whose sum is σ = 13980059651712. Its totient is φ = 948109639680.

The previous prime is 3712874832551. The next prime is 3712874832593. The reversal of 3712874832576 is 6752384782173.

It is a happy number.

3712874832576 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 87 + 483 + 2 + 5 + 76 = 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 159 ways as a sum of consecutive naturals, for example, 4904721990 + ... + 4904722746.

Almost surely, 2^{3712874832576} is an apocalyptic number.

3712874832576 is a gapful number since it is divisible by the number (36) 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 3712874832576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990029825856).

3712874832576 is an abundant number, since it is smaller than the sum of its proper divisors (10267184819136).

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

3712874832576 is a wasteful number, since it uses less digits than its factorization.

3712874832576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1100 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 3712874832576 in words is "three trillion, seven hundred twelve billion, eight hundred seventy-four million, eight hundred thirty-two thousand, five hundred seventy-six".