396735768 has 288 divisors, whose sum is σ = 1324552320. Its totient is φ = 106444800.

The previous prime is 396735761. The next prime is 396735791. The reversal of 396735768 is 867537693.

396735768 is a `hidden beast` number, since 3 + 9 + 67 + 3 + 576 + 8 = 666.

It is a super-2 number, since 2×396735768² = 314798539221099648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396735761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3510880 + ... + 3510992.

It is an arithmetic number, because the mean of its divisors is an integer number (4599140).

Almost surely, 2^396735768 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 396735768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662276160).

396735768 is an abundant number, since it is smaller than the sum of its proper divisors (927816552).

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

396735768 is a wasteful number, since it uses less digits than its factorization.

396735768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 396735768 is about 19918.2270295325. The cubic root of 396735768 is about 734.7965673283.

It can be divided in two parts, 396 and 735768, that added together give a square (736164 = 858²).

The spelling of 396735768 in words is "three hundred ninety-six million, seven hundred thirty-five thousand, seven hundred sixty-eight".