396349632 has 336 divisors, whose sum is σ = 1408419840. Its totient is φ = 108864000.

The previous prime is 396349627. The next prime is 396349643. The reversal of 396349632 is 236943693.

396349632 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 4 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2624757 + ... + 2624907.

Almost surely, 2^396349632 is an apocalyptic number.

396349632 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 396349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704209920).

396349632 is an abundant number, since it is smaller than the sum of its proper divisors (1012070208).

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

396349632 is a wasteful number, since it uses less digits than its factorization.

396349632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The square root of 396349632 is about 19908.5316384710. The cubic root of 396349632 is about 734.5581017212.

The spelling of 396349632 in words is "three hundred ninety-six million, three hundred forty-nine thousand, six hundred thirty-two".