3442752564075 has 336 divisors, whose sum is σ = 7283285839872. Its totient is φ = 1598434560000.

The previous prime is 3442752564023. The next prime is 3442752564077. The reversal of 3442752564075 is 5704652572443.

3442752564075 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 7 + 5 + 2 + 564 + 0 + 75 = 666.

It is not a de Polignac number, because 3442752564075 - 2¹¹ = 3442752562027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3442752564077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 602825470 + ... + 602831180.

It is an arithmetic number, because the mean of its divisors is an integer number (21676445952).

Almost surely, 2^{3442752564075} is an apocalyptic number.

3442752564075 is an abundant number, since it is smaller than the sum of its proper divisors (3840533275797).

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

3442752564075 is a wasteful number, since it uses less digits than its factorization.

3442752564075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 3442752564075 in words is "three trillion, four hundred forty-two billion, seven hundred fifty-two million, five hundred sixty-four thousand, seventy-five".