355906656 has 192 divisors, whose sum is σ = 1202342400. Its totient is φ = 100320768.

The previous prime is 355906633. The next prime is 355906673. The reversal of 355906656 is 656609553.

355906656 is a `hidden beast` number, since 3 + 5 + 590 + 6 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501630 + ... + 502338.

It is an arithmetic number, because the mean of its divisors is an integer number (6262200).

Almost surely, 2^355906656 is an apocalyptic number.

355906656 is a gapful number since it is divisible by the number (36) 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 355906656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601171200).

355906656 is an abundant number, since it is smaller than the sum of its proper divisors (846435744).

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

355906656 is a wasteful number, since it uses less digits than its factorization.

355906656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 355906656 is about 18865.4884908926. The cubic root of 355906656 is about 708.6721568436.

The spelling of 355906656 in words is "three hundred fifty-five million, nine hundred six thousand, six hundred fifty-six".