352922419200 has 360 divisors, whose sum is σ = 1256784314128. Its totient is φ = 86869278720.

The previous prime is 352922419193. The next prime is 352922419217. The reversal of 352922419200 is 2914229253.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 15963354 + ... + 15985446.

Almost surely, 2^352922419200 is an apocalyptic number.

352922419200 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 352922419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628392157064).

352922419200 is an abundant number, since it is smaller than the sum of its proper divisors (903861894928).

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

352922419200 is a wasteful number, since it uses less digits than its factorization.

352922419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22147 (or 22116 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 352922419200 in words is "three hundred fifty-two billion, nine hundred twenty-two million, four hundred nineteen thousand, two hundred".