352646496 has 72 divisors (see below), whose sum is σ = 1037443680. Its totient is φ = 113492736.

The previous prime is 352646491. The next prime is 352646513. The reversal of 352646496 is 694646253.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×352646496² = 248719102282156032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352646491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12760 + ... + 29463.

It is an arithmetic number, because the mean of its divisors is an integer number (14408940).

Almost surely, 2^352646496 is an apocalyptic number.

352646496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

352646496 is an abundant number, since it is smaller than the sum of its proper divisors (684797184).

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

352646496 is a wasteful number, since it uses less digits than its factorization.

352646496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42268 (or 42257 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 352646496 is about 18778.8843119074. The cubic root of 352646496 is about 706.5016671060.

The spelling of 352646496 in words is "three hundred fifty-two million, six hundred forty-six thousand, four hundred ninety-six".