3215427173856 has 672 divisors, whose sum is σ = 10134951869952. Its totient is φ = 1001592345600.

The previous prime is 3215427173807. The next prime is 3215427173873. The reversal of 3215427173856 is 6583717245123.

3215427173856 is a `hidden beast` number, since 3 + 2 + 1 + 542 + 7 + 17 + 3 + 85 + 6 = 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 (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4586914306 + ... + 4586915006.

It is an arithmetic number, because the mean of its divisors is an integer number (15081773616).

Almost surely, 2^{3215427173856} is an apocalyptic number.

3215427173856 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 3215427173856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067475934976).

3215427173856 is an abundant number, since it is smaller than the sum of its proper divisors (6919524696096).

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

3215427173856 is a wasteful number, since it uses less digits than its factorization.

3215427173856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 915 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 3215427173856 in words is "three trillion, two hundred fifteen billion, four hundred twenty-seven million, one hundred seventy-three thousand, eight hundred fifty-six".