3215070097344 has 2240 divisors, whose sum is σ = 12576057753600. Its totient is φ = 807648952320.

The previous prime is 3215070097249. The next prime is 3215070097363. The reversal of 3215070097344 is 4437900705123.

3215070097344 is a `hidden beast` number, since 3 + 2 + 150 + 70 + 0 + 97 + 344 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3215070097344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 44042056092 + ... + 44042056164.

Almost surely, 2^{3215070097344} is an apocalyptic number.

3215070097344 is a gapful number since it is divisible by the number (34) 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 3215070097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288028876800).

3215070097344 is an abundant number, since it is smaller than the sum of its proper divisors (9360987656256).

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

3215070097344 is a wasteful number, since it uses less digits than its factorization.

3215070097344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3215070097344 in words is "three trillion, two hundred fifteen billion, seventy million, ninety-seven thousand, three hundred forty-four".