13380034824 has 192 divisors, whose sum is σ = 42202218240. Its totient is φ = 3792107520.

The previous prime is 13380034799. The next prime is 13380034847. The reversal of 13380034824 is 42843008331.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738919 + ... + 756809.

It is an arithmetic number, because the mean of its divisors is an integer number (219803220).

Almost surely, 2^13380034824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13380034824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21101109120).

13380034824 is an abundant number, since it is smaller than the sum of its proper divisors (28822183416).

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

13380034824 is a wasteful number, since it uses less digits than its factorization.

13380034824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17980 (or 17973 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13380034824 in words is "thirteen billion, three hundred eighty million, thirty-four thousand, eight hundred twenty-four".