352912896 has 240 divisors, whose sum is σ = 1217533680. Its totient is φ = 100638720.

The previous prime is 352912891. The next prime is 352912909. The reversal of 352912896 is 698219253.

352912896 = 246³ + 247³ + ... + 266³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352912891) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 677116 + ... + 677636.

It is an arithmetic number, because the mean of its divisors is an integer number (5073057).

Almost surely, 2^352912896 is an apocalyptic number.

352912896 is a gapful number since it is divisible by the number (36) 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 352912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608766840).

352912896 is an abundant number, since it is smaller than the sum of its proper divisors (864620784).

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

352912896 is an equidigital number, since it uses as much as digits as its factorization.

352912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 533 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 352912896 is about 18785.9760459764. The cubic root of 352912896 is about 706.6795266834.

The spelling of 352912896 in words is "three hundred fifty-two million, nine hundred twelve thousand, eight hundred ninety-six".