356705664 has 128 divisors (see below), whose sum is σ = 1092199680. Its totient is φ = 101038080.

The previous prime is 356705653. The next prime is 356705707. The reversal of 356705664 is 466507653.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351622 + ... + 352634.

It is an arithmetic number, because the mean of its divisors is an integer number (8532810).

Almost surely, 2^356705664 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 356705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546099840).

356705664 is an abundant number, since it is smaller than the sum of its proper divisors (735494016).

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

356705664 is a wasteful number, since it uses less digits than its factorization.

356705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 356705664 is about 18886.6530650616. The cubic root of 356705664 is about 709.2020818579.

The spelling of 356705664 in words is "three hundred fifty-six million, seven hundred five thousand, six hundred sixty-four".