352254412800 has 432 divisors, whose sum is σ = 1265755392720. Its totient is φ = 93621288960.

The previous prime is 352254412739. The next prime is 352254412813. The reversal of 352254412800 is 8214452253.

352254412800 is a `hidden beast` number, since 3 + 5 + 22 + 544 + 12 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159896499 + ... + 159898701.

It is an arithmetic number, because the mean of its divisors is an integer number (2929989335).

Almost surely, 2^352254412800 is an apocalyptic number.

352254412800 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 352254412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632877696360).

352254412800 is an abundant number, since it is smaller than the sum of its proper divisors (913500979920).

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

352254412800 is a wasteful number, since it uses less digits than its factorization.

352254412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 352254412800 in words is "three hundred fifty-two billion, two hundred fifty-four million, four hundred twelve thousand, eight hundred".