356506656 has 144 divisors (see below), whose sum is σ = 1052134272. Its totient is φ = 105571840.

The previous prime is 356506649. The next prime is 356506681. The reversal of 356506656 is 656605653.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545626 + ... + 546278.

It is an arithmetic number, because the mean of its divisors is an integer number (7306488).

Almost surely, 2^356506656 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 356506656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526067136).

356506656 is an abundant number, since it is smaller than the sum of its proper divisors (695627616).

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

356506656 is a wasteful number, since it uses less digits than its factorization.

356506656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The square root of 356506656 is about 18881.3838475891. The cubic root of 356506656 is about 709.0701681101.

The spelling of 356506656 in words is "three hundred fifty-six million, five hundred six thousand, six hundred fifty-six".