13743352800 has 216 divisors, whose sum is σ = 48944914200. Its totient is φ = 3628416000.

The previous prime is 13743352751. The next prime is 13743352801. The reversal of 13743352800 is 825334731.

13743352800 is a `hidden beast` number, since 1 + 374 + 3 + 3 + 5 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13743352801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 717751 + ... + 736649.

It is an arithmetic number, because the mean of its divisors is an integer number (226596825).

Almost surely, 2^13743352800 is an apocalyptic number.

13743352800 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 13743352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24472457100).

13743352800 is an abundant number, since it is smaller than the sum of its proper divisors (35201561400).

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

13743352800 is a wasteful number, since it uses less digits than its factorization.

13743352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19026 (or 19010 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13743352800 in words is "thirteen billion, seven hundred forty-three million, three hundred fifty-two thousand, eight hundred".