356664672 has 288 divisors, whose sum is σ = 1291530240. Its totient is φ = 90823680.

The previous prime is 356664667. The next prime is 356664683. The reversal of 356664672 is 276466653.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812229 + ... + 812667.

It is an arithmetic number, because the mean of its divisors is an integer number (4484480).

Almost surely, 2^356664672 is an apocalyptic number.

356664672 is a gapful number since it is divisible by the number (32) 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 356664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645765120).

356664672 is an abundant number, since it is smaller than the sum of its proper divisors (934865568).

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

356664672 is a wasteful number, since it uses less digits than its factorization.

356664672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 356664672 is about 18885.5678230759. The cubic root of 356664672 is about 709.1749140570.

The spelling of 356664672 in words is "three hundred fifty-six million, six hundred sixty-four thousand, six hundred seventy-two".