13834800 has 300 divisors, whose sum is σ = 57675376. Its totient is φ = 3110400.

The previous prime is 13834789. The next prime is 13834813. The reversal of 13834800 is 843831.

13834800 = 55³ + 56³ + ... + 89³.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226770 + ... + 226830.

Almost surely, 2^13834800 is an apocalyptic number.

13834800 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 13834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28837688).

13834800 is an abundant number, since it is smaller than the sum of its proper divisors (43840576).

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

13834800 is a wasteful number, since it uses less digits than its factorization.

13834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

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

The square root of 13834800 is about 3719.5160975589. The cubic root of 13834800 is about 240.0624837310.

The spelling of 13834800 in words is "thirteen million, eight hundred thirty-four thousand, eight hundred".