345664036624 has 15 divisors (see below), whose sum is σ = 669728627463. Its totient is φ = 172830842448.

The previous prime is 345664036561. The next prime is 345664036639. The reversal of 345664036624 is 426630466543.

It is a happy number.

The square root of 345664036624 is 587932.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 2278237 + ... + 2425219.

Almost surely, 2^345664036624 is an apocalyptic number.

345664036624 is the 587932-nd square number.

It is an amenable number.

345664036624 is a deficient number, since it is larger than the sum of its proper divisors (324064590839).

345664036624 is an frugal number, since it uses more digits than its factorization.

345664036624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293974 (or 146985 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 49.

Multiplying 345664036624 by its sum of digits (49), we get a square (16937537794576 = 4115524²).

The spelling of 345664036624 in words is "three hundred forty-five billion, six hundred sixty-four million, thirty-six thousand, six hundred twenty-four".