396636000 has 96 divisors (see below), whose sum is σ = 1299418848. Its totient is φ = 105766400.

The previous prime is 396635977. The next prime is 396636013. The reversal of 396636000 is 636693.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4527 + ... + 28526.

It is an arithmetic number, because the mean of its divisors is an integer number (13535613).

Almost surely, 2^396636000 is an apocalyptic number.

396636000 is a gapful number since it is divisible by the number (30) 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 396636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649709424).

396636000 is an abundant number, since it is smaller than the sum of its proper divisors (902782848).

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

396636000 is a wasteful number, since it uses less digits than its factorization.

396636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33081 (or 33063 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 396636000 is about 19915.7224322895. The cubic root of 396636000 is about 734.7349685382.

The spelling of 396636000 in words is "three hundred ninety-six million, six hundred thirty-six thousand".