3896731238400 has 2880 divisors, whose sum is σ = 19368270768000. Its totient is φ = 747424972800.

The previous prime is 3896731238377. The next prime is 3896731238417. The reversal of 3896731238400 is 48321376983.

3896731238400 is a `hidden beast` number, since 389 + 67 + 3 + 123 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 143 ways as a sum of consecutive naturals, for example, 299748556794 + ... + 299748556806.

Almost surely, 2^{3896731238400} is an apocalyptic number.

3896731238400 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 3896731238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9684135384000).

3896731238400 is an abundant number, since it is smaller than the sum of its proper divisors (15471539529600).

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

3896731238400 is an equidigital number, since it uses as much as digits as its factorization.

3896731238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3896731238400 in words is "three trillion, eight hundred ninety-six billion, seven hundred thirty-one million, two hundred thirty-eight thousand, four hundred".