352812384 has 72 divisors (see below), whose sum is σ = 1012775400. Its totient is φ = 116505024.

The previous prime is 352812337. The next prime is 352812391. The reversal of 352812384 is 483218253.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

352812384 is a `hidden beast` number, since 3 + 528 + 123 + 8 + 4 = 666.

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

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, 3297259 + ... + 3297365.

It is an arithmetic number, because the mean of its divisors is an integer number (14066325).

Almost surely, 2^352812384 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 352812384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506387700).

352812384 is an abundant number, since it is smaller than the sum of its proper divisors (659963016).

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

352812384 is an frugal number, since it uses more digits than its factorization.

352812384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 112 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 352812384 is about 18783.3006684129. The cubic root of 352812384 is about 706.6124312635.

352812384 divided by its sum of digits (36) gives a cube (9800344 = 214³).

The spelling of 352812384 in words is "three hundred fifty-two million, eight hundred twelve thousand, three hundred eighty-four".