356668704 has 192 divisors, whose sum is σ = 1259193600. Its totient is φ = 95883264.

The previous prime is 356668693. The next prime is 356668727. The reversal of 356668704 is 407866653.

356668704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 356668704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101082 + ... + 104550.

It is an arithmetic number, because the mean of its divisors is an integer number (6558300).

Almost surely, 2^356668704 is an apocalyptic number.

356668704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356668704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629596800).

356668704 is an abundant number, since it is smaller than the sum of its proper divisors (902524896).

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

356668704 is a wasteful number, since it uses less digits than its factorization.

356668704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 356668704 is about 18885.6745709546. The cubic root of 356668704 is about 709.1775863920.

The spelling of 356668704 in words is "three hundred fifty-six million, six hundred sixty-eight thousand, seven hundred four".