352307404800 has 1344 divisors, whose sum is σ = 1450485288000. Its totient is φ = 83731415040.

The previous prime is 352307404793. The next prime is 352307404849. The reversal of 352307404800 is 8404703253.

It is a happy number.

It is a super-2 number, since 2×352307404800² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 12148531186 + ... + 12148531214.

It is an arithmetic number, because the mean of its divisors is an integer number (1079230125).

Almost surely, 2^352307404800 is an apocalyptic number.

352307404800 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 352307404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725242644000).

352307404800 is an abundant number, since it is smaller than the sum of its proper divisors (1098177883200).

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

352307404800 is an equidigital number, since it uses as much as digits as its factorization.

352307404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 352307404800 in words is "three hundred fifty-two billion, three hundred seven million, four hundred four thousand, eight hundred".