13834313640 has 96 divisors (see below), whose sum is σ = 51384602880. Its totient is φ = 3162128256.

The previous prime is 13834313629. The next prime is 13834313659. The reversal of 13834313640 is 4631343831.

13834313640 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 4 + 3 + 1 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13834313595 and 13834313604.

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 23 ways as a sum of consecutive naturals, for example, 2742384 + ... + 2747423.

It is an arithmetic number, because the mean of its divisors is an integer number (535256280).

Almost surely, 2^13834313640 is an apocalyptic number.

13834313640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13834313640 is an abundant number, since it is smaller than the sum of its proper divisors (37550289240).

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

13834313640 is a wasteful number, since it uses less digits than its factorization.

13834313640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489831 (or 5489824 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13834313640 in words is "thirteen billion, eight hundred thirty-four million, three hundred thirteen thousand, six hundred forty".