352915221120 has 1536 divisors, whose sum is σ = 1487788646400. Its totient is φ = 69584486400.

The previous prime is 352915221073. The next prime is 352915221133. The reversal of 352915221120 is 21122519253.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4467281241 + ... + 4467281319.

It is an arithmetic number, because the mean of its divisors is an integer number (968612400).

Almost surely, 2^352915221120 is an apocalyptic number.

352915221120 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 352915221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743894323200).

352915221120 is an abundant number, since it is smaller than the sum of its proper divisors (1134873425280).

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

352915221120 is a wasteful number, since it uses less digits than its factorization.

352915221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 352915221120 in words is "three hundred fifty-two billion, nine hundred fifteen million, two hundred twenty-one thousand, one hundred twenty".