2975697343872 has 384 divisors, whose sum is σ = 9660777285600. Its totient is φ = 901040025600.

The previous prime is 2975697343819. The next prime is 2975697343889. The reversal of 2975697343872 is 2783437965792.

2975697343872 is a `hidden beast` number, since 2 + 9 + 7 + 56 + 9 + 73 + 438 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2975697343872.

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 47 ways as a sum of consecutive naturals, for example, 935458122 + ... + 935461302.

Almost surely, 2^{2975697343872} is an apocalyptic number.

2975697343872 is a gapful number since it is divisible by the number (22) 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 2975697343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830388642800).

2975697343872 is an abundant number, since it is smaller than the sum of its proper divisors (6685079941728).

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

2975697343872 is a wasteful number, since it uses less digits than its factorization.

2975697343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5434 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 2975697343872 in words is "two trillion, nine hundred seventy-five billion, six hundred ninety-seven million, three hundred forty-three thousand, eight hundred seventy-two".