352032768 has 144 divisors (see below), whose sum is σ = 1034888400. Its totient is φ = 115261440.

The previous prime is 352032749. The next prime is 352032781. The reversal of 352032768 is 867230253.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1308538 + ... + 1308806.

It is an arithmetic number, because the mean of its divisors is an integer number (7186725).

Almost surely, 2^352032768 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 352032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517444200).

352032768 is an abundant number, since it is smaller than the sum of its proper divisors (682855632).

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

352032768 is a wasteful number, since it uses less digits than its factorization.

352032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 352032768 is about 18762.5362891055. The cubic root of 352032768 is about 706.0915759411.

The spelling of 352032768 in words is "three hundred fifty-two million, thirty-two thousand, seven hundred sixty-eight".