352164672 has 70 divisors (see below), whose sum is σ = 1043941778. Its totient is φ = 117386496.

The previous prime is 352164671. The next prime is 352164689. The reversal of 352164672 is 276461253.

352164672 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 646 + 7 + 2 = 666.

352164672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 345067776 + 7096896 = 18576^2 + 2664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352164671) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28783 + ... + 39150.

Almost surely, 2^352164672 is an apocalyptic number.

352164672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

352164672 is an abundant number, since it is smaller than the sum of its proper divisors (691777106).

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

352164672 is an equidigital number, since it uses as much as digits as its factorization.

352164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67957 (or 67938 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 352164672 is about 18766.0510497014. The cubic root of 352164672 is about 706.1797539761.

It can be divided in two parts, 352164 and 672, that added together give a square (352836 = 594²).

The spelling of 352164672 in words is "three hundred fifty-two million, one hundred sixty-four thousand, six hundred seventy-two".