13797734400 has 432 divisors, whose sum is σ = 51290857800. Its totient is φ = 3676078080.

The previous prime is 13797734381. The next prime is 13797734411. The reversal of 13797734400 is 443779731.

13797734400 is a `hidden beast` number, since 137 + 9 + 7 + 73 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×13797734400³ (a number of 31 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441046 + ... + 12442154.

Almost surely, 2^13797734400 is an apocalyptic number.

13797734400 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 13797734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25645428900).

13797734400 is an abundant number, since it is smaller than the sum of its proper divisors (37493123400).

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

13797734400 is an equidigital number, since it uses as much as digits as its factorization.

13797734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 13797734400 in words is "thirteen billion, seven hundred ninety-seven million, seven hundred thirty-four thousand, four hundred".