352053680 has 160 divisors (see below), whose sum is σ = 958920768. Its totient is φ = 118784000.

The previous prime is 352053677. The next prime is 352053727. The reversal of 352053680 is 86350253.

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 31 ways as a sum of consecutive naturals, for example, 1510844 + ... + 1511076.

Almost surely, 2^352053680 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 352053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479460384).

352053680 is an abundant number, since it is smaller than the sum of its proper divisors (606867088).

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

352053680 is a wasteful number, since it uses less digits than its factorization.

352053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 352053680 is about 18763.0935615639. The cubic root of 352053680 is about 706.1055571156.

The spelling of 352053680 in words is "three hundred fifty-two million, fifty-three thousand, six hundred eighty".