352835952 has 160 divisors (see below), whose sum is σ = 1111928832. Its totient is φ = 94113792.

The previous prime is 352835933. The next prime is 352835963. The reversal of 352835952 is 259538253.

It is a super-3 number, since 3×352835952³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273638 + ... + 1273914.

Almost surely, 2^352835952 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 352835952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555964416).

352835952 is an abundant number, since it is smaller than the sum of its proper divisors (759092880).

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

352835952 is a wasteful number, since it uses less digits than its factorization.

352835952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 352835952 is about 18783.9280237122. The cubic root of 352835952 is about 706.6281649052.

The spelling of 352835952 in words is "three hundred fifty-two million, eight hundred thirty-five thousand, nine hundred fifty-two".