352782164 has 72 divisors (see below), whose sum is σ = 765313920. Its totient is φ = 141383424.

The previous prime is 352782149. The next prime is 352782167. The reversal of 352782164 is 461287253.

It is a happy number.

352782164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352782167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796127 + ... + 796569.

It is an arithmetic number, because the mean of its divisors is an integer number (10629360).

Almost surely, 2^352782164 is an apocalyptic number.

352782164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352782164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382656960).

352782164 is an abundant number, since it is smaller than the sum of its proper divisors (412531756).

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

352782164 is a wasteful number, since it uses less digits than its factorization.

352782164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 352782164 is about 18782.4962132300. The cubic root of 352782164 is about 706.5922558214.

The spelling of 352782164 in words is "three hundred fifty-two million, seven hundred eighty-two thousand, one hundred sixty-four".