352812672 has 224 divisors, whose sum is σ = 1114860000. Its totient is φ = 110854656.

The previous prime is 352812671. The next prime is 352812697. The reversal of 352812672 is 276218253.

352812672 is a `hidden beast` number, since 3 + 528 + 126 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (352812671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1772829 + ... + 1773027.

Almost surely, 2^352812672 is an apocalyptic number.

352812672 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 352812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557430000).

352812672 is an abundant number, since it is smaller than the sum of its proper divisors (762047328).

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

352812672 is an equidigital number, since it uses as much as digits as its factorization.

352812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 352812672 is about 18783.3083347956. The cubic root of 352812672 is about 706.6126235321.

The spelling of 352812672 in words is "three hundred fifty-two million, eight hundred twelve thousand, six hundred seventy-two".