352572998400 has 2592 divisors, whose sum is σ = 1681934016000. Its totient is φ = 70509035520.

The previous prime is 352572998321. The next prime is 352572998411. The reversal of 352572998400 is 4899275253.

352572998400 is a `hidden beast` number, since 3 + 525 + 7 + 29 + 98 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12157689586 + ... + 12157689614.

Almost surely, 2^352572998400 is an apocalyptic number.

352572998400 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 352572998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840967008000).

352572998400 is an abundant number, since it is smaller than the sum of its proper divisors (1329361017600).

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

352572998400 is a wasteful number, since it uses less digits than its factorization.

352572998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 352572998400 in words is "three hundred fifty-two billion, five hundred seventy-two million, nine hundred ninety-eight thousand, four hundred".