356008934400 has 528 divisors, whose sum is σ = 1358779865856. Its totient is φ = 80522772480.

The previous prime is 356008934399. The next prime is 356008934431. The reversal of 356008934400 is 4439800653.

It is a super-2 number, since 2×356008934400² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52143787 + ... + 52150613.

Almost surely, 2^356008934400 is an apocalyptic number.

356008934400 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 356008934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679389932928).

356008934400 is an abundant number, since it is smaller than the sum of its proper divisors (1002770931456).

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

356008934400 is a wasteful number, since it uses less digits than its factorization.

356008934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 356008934400 in words is "three hundred fifty-six billion, eight million, nine hundred thirty-four thousand, four hundred".