353382120 has 576 divisors, whose sum is σ = 1523733120. Its totient is φ = 70253568.

The previous prime is 353382101. The next prime is 353382163. The reversal of 353382120 is 21283353.

353382120 is a `hidden beast` number, since 3 + 533 + 8 + 2 + 120 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5274327 + ... + 5274393.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^353382120 is an apocalyptic number.

353382120 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 353382120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

353382120 is an abundant number, since it is smaller than the sum of its proper divisors (1170351000).

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

353382120 is a wasteful number, since it uses less digits than its factorization.

353382120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 353382120 is about 18798.4605752705. The cubic root of 353382120 is about 706.9925823487.

The spelling of 353382120 in words is "three hundred fifty-three million, three hundred eighty-two thousand, one hundred twenty".