396003638880 has 192 divisors, whose sum is σ = 1386304657920. Its totient is φ = 105578731008.

The previous prime is 396003638879. The next prime is 396003638929. The reversal of 396003638880 is 88836300693.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36381919 + ... + 36392801.

It is an arithmetic number, because the mean of its divisors is an integer number (7220336760).

Almost surely, 2^396003638880 is an apocalyptic number.

396003638880 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 396003638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693152328960).

396003638880 is an abundant number, since it is smaller than the sum of its proper divisors (990301019040).

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

396003638880 is a wasteful number, since it uses less digits than its factorization.

396003638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19330 (or 19316 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 396003638880 in words is "three hundred ninety-six billion, three million, six hundred thirty-eight thousand, eight hundred eighty".