13688438400 has 768 divisors, whose sum is σ = 61691884800. Its totient is φ = 2886451200.

The previous prime is 13688438353. The next prime is 13688438441. The reversal of 13688438400 is 483488631.

13688438400 is a `hidden beast` number, since 136 + 8 + 84 + 38 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7861530 + ... + 7863270.

It is an arithmetic number, because the mean of its divisors is an integer number (80327975).

Almost surely, 2^13688438400 is an apocalyptic number.

13688438400 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 13688438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30845942400).

13688438400 is an abundant number, since it is smaller than the sum of its proper divisors (48003446400).

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

13688438400 is a wasteful number, since it uses less digits than its factorization.

13688438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13688438400 in words is "thirteen billion, six hundred eighty-eight million, four hundred thirty-eight thousand, four hundred".