356216400 has 120 divisors (see below), whose sum is σ = 1267904960. Its totient is φ = 94988160.

The previous prime is 356216321. The next prime is 356216401. The reversal of 356216400 is 4612653.

356216400 is a `hidden beast` number, since 35 + 621 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356216401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5692 + ... + 27291.

Almost surely, 2^356216400 is an apocalyptic number.

356216400 is a gapful number since it is divisible by the number (30) 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 356216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633952480).

356216400 is an abundant number, since it is smaller than the sum of its proper divisors (911688560).

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

356216400 is a wasteful number, since it uses less digits than its factorization.

356216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33010 (or 32993 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 356216400 is about 18873.6959814447. The cubic root of 356216400 is about 708.8776819880.

The spelling of 356216400 in words is "three hundred fifty-six million, two hundred sixteen thousand, four hundred".