13800038400 has 252 divisors, whose sum is σ = 49438389312. Its totient is φ = 3679518720.

The previous prime is 13800038393. The next prime is 13800038401. The reversal of 13800038400 is 483000831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800038401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1839457 + ... + 1846943.

Almost surely, 2^13800038400 is an apocalyptic number.

13800038400 is a gapful number since it is divisible by the number (10) 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 13800038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24719194656).

13800038400 is an abundant number, since it is smaller than the sum of its proper divisors (35638350912).

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

13800038400 is an equidigital number, since it uses as much as digits as its factorization.

13800038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

It can be divided in two parts, 138000 and 38400, that added together give a square (176400 = 420²).

The spelling of 13800038400 in words is "thirteen billion, eight hundred million, thirty-eight thousand, four hundred".