396313344 has 144 divisors (see below), whose sum is σ = 1339555840. Its totient is φ = 113218560.

The previous prime is 396313321. The next prime is 396313369. The reversal of 396313344 is 443313693.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 396313299 and 396313308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44289 + ... + 52479.

Almost surely, 2^396313344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669777920).

396313344 is an abundant number, since it is smaller than the sum of its proper divisors (943242496).

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

396313344 is an equidigital number, since it uses as much as digits as its factorization.

396313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8203 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 396313344 is about 19907.6202495426. The cubic root of 396313344 is about 734.5356834186.

The spelling of 396313344 in words is "three hundred ninety-six million, three hundred thirteen thousand, three hundred forty-four".