352808640 has 84 divisors (see below), whose sum is σ = 1213524624. Its totient is φ = 94081536.

The previous prime is 352808627. The next prime is 352808641. The reversal of 352808640 is 46808253.

352808640 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 0 + 8 + 640 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 352808595 and 352808604.

It is not an unprimeable number, because it can be changed into a prime (352808641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58372 + ... + 64131.

Almost surely, 2^352808640 is an apocalyptic number.

352808640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352808640 is an abundant number, since it is smaller than the sum of its proper divisors (860715984).

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

352808640 is a wasteful number, since it uses less digits than its factorization.

352808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122526 (or 122513 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 352808640 is about 18783.2010051535. The cubic root of 352808640 is about 706.6099317610.

The spelling of 352808640 in words is "three hundred fifty-two million, eight hundred eight thousand, six hundred forty".