13730790384 has 160 divisors (see below), whose sum is σ = 41839375680. Its totient is φ = 4296499200.

The previous prime is 13730790379. The next prime is 13730790433. The reversal of 13730790384 is 48309703731.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3089604 + ... + 3094044.

It is an arithmetic number, because the mean of its divisors is an integer number (261496098).

Almost surely, 2^13730790384 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 13730790384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20919687840).

13730790384 is an abundant number, since it is smaller than the sum of its proper divisors (28108585296).

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

13730790384 is a wasteful number, since it uses less digits than its factorization.

13730790384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13730790384 in words is "thirteen billion, seven hundred thirty million, seven hundred ninety thousand, three hundred eighty-four".