13710935340 has 192 divisors, whose sum is σ = 44137699200. Its totient is φ = 3530760192.

The previous prime is 13710935339. The next prime is 13710935389. The reversal of 13710935340 is 4353901731.

13710935340 is a `hidden beast` number, since 1 + 37 + 1 + 0 + 93 + 534 + 0 = 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 = 13710935295 and 13710935304.

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, 2734756 + ... + 2739764.

It is an arithmetic number, because the mean of its divisors is an integer number (229883850).

Almost surely, 2^13710935340 is an apocalyptic number.

13710935340 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 13710935340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22068849600).

13710935340 is an abundant number, since it is smaller than the sum of its proper divisors (30426763860).

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

13710935340 is a wasteful number, since it uses less digits than its factorization.

13710935340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 13710935340 in words is "thirteen billion, seven hundred ten million, nine hundred thirty-five thousand, three hundred forty".