352087474920 has 256 divisors, whose sum is σ = 1087727616000. Its totient is φ = 91140940800.

The previous prime is 352087474901. The next prime is 352087474967. The reversal of 352087474920 is 29474780253.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424713066 + ... + 424713894.

It is an arithmetic number, because the mean of its divisors is an integer number (4248936000).

Almost surely, 2^352087474920 is an apocalyptic number.

352087474920 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 352087474920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543863808000).

352087474920 is an abundant number, since it is smaller than the sum of its proper divisors (735640141080).

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

352087474920 is a wasteful number, since it uses less digits than its factorization.

352087474920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 352087474920 in words is "three hundred fifty-two billion, eighty-seven million, four hundred seventy-four thousand, nine hundred twenty".