345143757024 has 576 divisors, whose sum is σ = 1189844812800. Its totient is φ = 96949923840.

The previous prime is 345143757017. The next prime is 345143757029. The reversal of 345143757024 is 420757341543.

It is a happy number.

345143757024 is a `hidden beast` number, since 3 + 4 + 51 + 4 + 3 + 7 + 570 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345143757029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93355944 + ... + 93359640.

It is an arithmetic number, because the mean of its divisors is an integer number (2065702800).

Almost surely, 2^345143757024 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 345143757024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594922406400).

345143757024 is an abundant number, since it is smaller than the sum of its proper divisors (844701055776).

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

345143757024 is a wasteful number, since it uses less digits than its factorization.

345143757024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 345143757024 in words is "three hundred forty-five billion, one hundred forty-three million, seven hundred fifty-seven thousand, twenty-four".