352261324800 has 2160 divisors, whose sum is σ = 1688562675072. Its totient is φ = 67947724800.

The previous prime is 352261324759. The next prime is 352261324829. The reversal of 352261324800 is 8423162253.

352261324800 is a `hidden beast` number, since 3 + 522 + 61 + 32 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4825497564 + ... + 4825497636.

Almost surely, 2^352261324800 is an apocalyptic number.

352261324800 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 352261324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844281337536).

352261324800 is an abundant number, since it is smaller than the sum of its proper divisors (1336301350272).

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

352261324800 is a wasteful number, since it uses less digits than its factorization.

352261324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 352261324800 in words is "three hundred fifty-two billion, two hundred sixty-one million, three hundred twenty-four thousand, eight hundred".