3452139057024 has 768 divisors, whose sum is σ = 11970126604800. Its totient is φ = 969996902400.

The previous prime is 3452139057019. The next prime is 3452139057049. The reversal of 3452139057024 is 4207509312543.

It is a happy number.

3452139057024 is a `hidden beast` number, since 3 + 4 + 5 + 21 + 39 + 0 + 570 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3936304074 + ... + 3936304950.

It is an arithmetic number, because the mean of its divisors is an integer number (15586102350).

Almost surely, 2^{3452139057024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3452139057024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985063302400).

3452139057024 is an abundant number, since it is smaller than the sum of its proper divisors (8517987547776).

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

3452139057024 is a wasteful number, since it uses less digits than its factorization.

3452139057024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3452139057024 in words is "three trillion, four hundred fifty-two billion, one hundred thirty-nine million, fifty-seven thousand, twenty-four".