352423872 has 336 divisors, whose sum is σ = 1171602432. Its totient is φ = 104509440.

The previous prime is 352423849. The next prime is 352423931. The reversal of 352423872 is 278324253.

352423872 is a `hidden beast` number, since 35 + 242 + 387 + 2 = 666.

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

Its product of digits (80640) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8195883 + ... + 8195925.

It is an arithmetic number, because the mean of its divisors is an integer number (3486912).

Almost surely, 2^352423872 is an apocalyptic number.

352423872 is a gapful number since it is divisible by the number (32) 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 352423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585801216).

352423872 is an abundant number, since it is smaller than the sum of its proper divisors (819178560).

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

352423872 is a wasteful number, since it uses less digits than its factorization.

352423872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 352423872 is about 18772.9558674174. The cubic root of 352423872 is about 706.3529654665.

The spelling of 352423872 in words is "three hundred fifty-two million, four hundred twenty-three thousand, eight hundred seventy-two".