396942336 has 264 divisors, whose sum is σ = 1372145040. Its totient is φ = 113025024.

The previous prime is 396942317. The next prime is 396942341. The reversal of 396942336 is 633249693.

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 = 396942291 and 396942300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354606 + ... + 1354898.

Almost surely, 2^396942336 is an apocalyptic number.

396942336 is a gapful number since it is divisible by the number (36) 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 396942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686072520).

396942336 is an abundant number, since it is smaller than the sum of its proper divisors (975202704).

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

396942336 is a wasteful number, since it uses less digits than its factorization.

396942336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 305 counting only the distinct ones).

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

The square root of 396942336 is about 19923.4117560221. The cubic root of 396942336 is about 734.9240737897.

The spelling of 396942336 in words is "three hundred ninety-six million, nine hundred forty-two thousand, three hundred thirty-six".