3831397072800 has 576 divisors, whose sum is σ = 14422584895488. Its totient is φ = 873134080000.

The previous prime is 3831397072753. The next prime is 3831397072831. The reversal of 3831397072800 is 82707931383.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408852115 + ... + 408861485.

It is an arithmetic number, because the mean of its divisors is an integer number (25039209888).

Almost surely, 2^{3831397072800} is an apocalyptic number.

3831397072800 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 3831397072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211292447744).

3831397072800 is an abundant number, since it is smaller than the sum of its proper divisors (10591187822688).

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

3831397072800 is a wasteful number, since it uses less digits than its factorization.

3831397072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10333 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 3831397072800 in words is "three trillion, eight hundred thirty-one billion, three hundred ninety-seven million, seventy-two thousand, eight hundred".