13834257360 has 320 divisors, whose sum is σ = 53593712640. Its totient is φ = 2867927040.

The previous prime is 13834257329. The next prime is 13834257379. The reversal of 13834257360 is 6375243831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13656214 + ... + 13657226.

It is an arithmetic number, because the mean of its divisors is an integer number (167480352).

Almost surely, 2^13834257360 is an apocalyptic number.

13834257360 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 13834257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26796856320).

13834257360 is an abundant number, since it is smaller than the sum of its proper divisors (39759455280).

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

13834257360 is a wasteful number, since it uses less digits than its factorization.

13834257360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13834257360 in words is "thirteen billion, eight hundred thirty-four million, two hundred fifty-seven thousand, three hundred sixty".