352715040 has 96 divisors (see below), whose sum is σ = 1234517760. Its totient is φ = 94056192.

The previous prime is 352715021. The next prime is 352715059. The reversal of 352715040 is 40517253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (352715021) and next prime (352715059).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 352714995 and 352715013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36504 + ... + 45143.

It is an arithmetic number, because the mean of its divisors is an integer number (12859560).

Almost surely, 2^352715040 is an apocalyptic number.

352715040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352715040 is an abundant number, since it is smaller than the sum of its proper divisors (881802720).

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

352715040 is a wasteful number, since it uses less digits than its factorization.

352715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81671 (or 81657 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 352715040 is about 18780.7092517828. The cubic root of 352715040 is about 706.5474384508.

The spelling of 352715040 in words is "three hundred fifty-two million, seven hundred fifteen thousand, forty".