345032952264 has 512 divisors, whose sum is σ = 1299413606400. Its totient is φ = 81916738560.

The previous prime is 345032952239. The next prime is 345032952283. The reversal of 345032952264 is 462259230543.

345032952264 is a `hidden beast` number, since 3 + 45 + 0 + 3 + 29 + 522 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22262502 + ... + 22277994.

It is an arithmetic number, because the mean of its divisors is an integer number (2537917200).

Almost surely, 2^345032952264 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 345032952264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649706803200).

345032952264 is an abundant number, since it is smaller than the sum of its proper divisors (954380654136).

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

345032952264 is a wasteful number, since it uses less digits than its factorization.

345032952264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15642 (or 15632 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 345032952264 in words is "three hundred forty-five billion, thirty-two million, nine hundred fifty-two thousand, two hundred sixty-four".