396360036000396 has 768 divisors, whose sum is σ = 1169495624908800. Its totient is φ = 115254503424000.

The previous prime is 396360036000373. The next prime is 396360036000437. The reversal of 396360036000396 is 693000630063693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 208500807046 + ... + 208500808946.

It is an arithmetic number, because the mean of its divisors is an integer number (1522780761600).

Almost surely, 2^{396360036000396} is an apocalyptic number.

396360036000396 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 396360036000396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584747812454400).

396360036000396 is an abundant number, since it is smaller than the sum of its proper divisors (773135588908404).

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

396360036000396 is a wasteful number, since it uses less digits than its factorization.

396360036000396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 54.

The spelling of 396360036000396 in words is "three hundred ninety-six trillion, three hundred sixty billion, thirty-six million, three hundred ninety-six", and thus it is an aban number.