352038960 has 480 divisors, whose sum is σ = 1516569600. Its totient is φ = 73903104.

The previous prime is 352038853. The next prime is 352038983. The reversal of 352038960 is 69830253.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1768941 + ... + 1769139.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2^352038960 is an apocalyptic number.

352038960 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 352038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758284800).

352038960 is an abundant number, since it is smaller than the sum of its proper divisors (1164530640).

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

352038960 is a wasteful number, since it uses less digits than its factorization.

352038960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 352038960 is about 18762.7012980541. The cubic root of 352038960 is about 706.0957157957.

The spelling of 352038960 in words is "three hundred fifty-two million, thirty-eight thousand, nine hundred sixty".