3122745679872 has 504 divisors, whose sum is σ = 11163732169824. Its totient is φ = 823558275072.

The previous prime is 3122745679847. The next prime is 3122745679891. The reversal of 3122745679872 is 2789765472213.

It is a happy number.

3122745679872 is a `hidden beast` number, since 3 + 1 + 2 + 27 + 456 + 7 + 98 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 35 ways as a sum of consecutive naturals, for example, 87202323 + ... + 87238125.

Almost surely, 2^{3122745679872} is an apocalyptic number.

3122745679872 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 3122745679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581866084912).

3122745679872 is an abundant number, since it is smaller than the sum of its proper divisors (8040986489952).

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

3122745679872 is a wasteful number, since it uses less digits than its factorization.

3122745679872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35868 (or 35828 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 3122745679872 in words is "three trillion, one hundred twenty-two billion, seven hundred forty-five million, six hundred seventy-nine thousand, eight hundred seventy-two".