13801634400 has 72 divisors (see below), whose sum is σ = 44924327784. Its totient is φ = 3680435200.

The previous prime is 13801634323. The next prime is 13801634419. The reversal of 13801634400 is 443610831.

It is a super-2 number, since 2×13801634400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2872941 + ... + 2877740.

It is an arithmetic number, because the mean of its divisors is an integer number (623948997).

Almost surely, 2^13801634400 is an apocalyptic number.

13801634400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13801634400 is an abundant number, since it is smaller than the sum of its proper divisors (31122693384).

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

13801634400 is a wasteful number, since it uses less digits than its factorization.

13801634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750704 (or 5750691 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 13801634400 in words is "thirteen billion, eight hundred one million, six hundred thirty-four thousand, four hundred".