352000896 has 128 divisors (see below), whose sum is σ = 1017878400. Its totient is φ = 107132928.

The previous prime is 352000849. The next prime is 352000919. The reversal of 352000896 is 698000253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533815 + ... + 534473.

It is an arithmetic number, because the mean of its divisors is an integer number (7952175).

Almost surely, 2^352000896 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 352000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508939200).

352000896 is an abundant number, since it is smaller than the sum of its proper divisors (665877504).

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

352000896 is a wasteful number, since it uses less digits than its factorization.

352000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 352000896 is about 18761.6869177588. The cubic root of 352000896 is about 706.0702661541.

The spelling of 352000896 in words is "three hundred fifty-two million, eight hundred ninety-six", and thus it is an aban number.