396337536 has 320 divisors, whose sum is σ = 1390202880. Its totient is φ = 109734912.

The previous prime is 396337517. The next prime is 396337537. The reversal of 396337536 is 635733693.

It is a happy number.

396337536 is a `hidden beast` number, since 3 + 9 + 633 + 7 + 5 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 396337491 and 396337500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396337537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3120705 + ... + 3120831.

It is an arithmetic number, because the mean of its divisors is an integer number (4344384).

Almost surely, 2^396337536 is an apocalyptic number.

396337536 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 396337536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695101440).

396337536 is an abundant number, since it is smaller than the sum of its proper divisors (993865344).

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

396337536 is a wasteful number, since it uses less digits than its factorization.

396337536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its digits is 918540, while the sum is 45.

The square root of 396337536 is about 19908.2278467974. The cubic root of 396337536 is about 734.5506291057.

The spelling of 396337536 in words is "three hundred ninety-six million, three hundred thirty-seven thousand, five hundred thirty-six".