13837876032 has 112 divisors (see below), whose sum is σ = 38324040192. Its totient is φ = 4398282240.

The previous prime is 13837876001. The next prime is 13837876097. The reversal of 13837876032 is 23067873831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1456963 + ... + 1466429.

Almost surely, 2^13837876032 is an apocalyptic number.

13837876032 is a gapful number since it is divisible by the number (12) 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 13837876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19162020096).

13837876032 is an abundant number, since it is smaller than the sum of its proper divisors (24486164160).

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

13837876032 is a wasteful number, since it uses less digits than its factorization.

13837876032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9836 (or 9826 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 13837876032 in words is "thirteen billion, eight hundred thirty-seven million, eight hundred seventy-six thousand, thirty-two".