13834464400 has 45 divisors (see below), whose sum is σ = 33242953323. Its totient is φ = 5532844800.

The previous prime is 13834464389. The next prime is 13834464409. The reversal of 13834464400 is 446443831.

The square root of 13834464400 is 117620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 677456784 + 13157007616 = 26028^2 + 114704^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13834464400.

It is not an unprimeable number, because it can be changed into a prime (13834464409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2349460 + ... + 2355340.

Almost surely, 2^13834464400 is an apocalyptic number.

13834464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13834464400 is the 117620-th square number.

It is an amenable number.

13834464400 is an abundant number, since it is smaller than the sum of its proper divisors (19408488923).

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

13834464400 is an frugal number, since it uses more digits than its factorization.

13834464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11780 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 13834464400 in words is "thirteen billion, eight hundred thirty-four million, four hundred sixty-four thousand, four hundred".