396132352 has 128 divisors (see below), whose sum is σ = 994034880. Its totient is φ = 153354240.

The previous prime is 396132299. The next prime is 396132377. The reversal of 396132352 is 253231693.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2523058 + ... + 2523214.

Almost surely, 2^396132352 is an apocalyptic number.

396132352 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 396132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497017440).

396132352 is an abundant number, since it is smaller than the sum of its proper divisors (597902528).

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

396132352 is an equidigital number, since it uses as much as digits as its factorization.

396132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its digits is 29160, while the sum is 34.

The square root of 396132352 is about 19903.0739334405. The cubic root of 396132352 is about 734.4238482358.

The spelling of 396132352 in words is "three hundred ninety-six million, one hundred thirty-two thousand, three hundred fifty-two".