352418144 has 48 divisors (see below), whose sum is σ = 779702112. Its totient is φ = 155578368.

The previous prime is 352418141. The next prime is 352418149. The reversal of 352418144 is 441814253.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 352418144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352418141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8849 + ... + 27984.

It is an arithmetic number, because the mean of its divisors is an integer number (16243794).

Almost surely, 2^352418144 is an apocalyptic number.

It is an amenable number.

352418144 is an abundant number, since it is smaller than the sum of its proper divisors (427283968).

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

352418144 is a wasteful number, since it uses less digits than its factorization.

352418144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36879 (or 36871 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 352418144 is about 18772.8033069118. The cubic root of 352418144 is about 706.3491386242.

The spelling of 352418144 in words is "three hundred fifty-two million, four hundred eighteen thousand, one hundred forty-four".