352379340800 has 288 divisors, whose sum is σ = 895358318400. Its totient is φ = 137494855680.

The previous prime is 352379340799. The next prime is 352379340851. The reversal of 352379340800 is 8043973253.

It is a super-3 number, since 3×352379340800³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474265229 + ... + 474265971.

It is an arithmetic number, because the mean of its divisors is an integer number (3108883050).

Almost surely, 2^352379340800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352379340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447679159200).

352379340800 is an abundant number, since it is smaller than the sum of its proper divisors (542978977600).

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

352379340800 is a wasteful number, since it uses less digits than its factorization.

352379340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 352379340800 in words is "three hundred fifty-two billion, three hundred seventy-nine million, three hundred forty thousand, eight hundred".