396000396 has 72 divisors (see below), whose sum is σ = 1102924368. Its totient is φ = 118800000.

The previous prime is 396000391. The next prime is 396000403. The reversal of 396000396 is 693000693.

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

It is a self number, because there is not a number n which added to its sum of digits gives 396000396.

It is not an unprimeable number, because it can be changed into a prime (396000391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35046 + ... + 44946.

It is an arithmetic number, because the mean of its divisors is an integer number (15318394).

Almost surely, 2^396000396 is an apocalyptic number.

396000396 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 396000396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551462184).

396000396 is an abundant number, since it is smaller than the sum of its proper divisors (706923972).

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

396000396 is a wasteful number, since it uses less digits than its factorization.

396000396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10018 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 396000396 is about 19899.7586920043. The cubic root of 396000396 is about 734.3422909856.

396000396 divided by its sum of digits (36) gives a palindrome (11000011).

The spelling of 396000396 in words is "three hundred ninety-six million, three hundred ninety-six", and thus it is an aban number.