13735284372 has 42 divisors (see below), whose sum is σ = 36038643018. Its totient is φ = 4578427152.

The previous prime is 13735284349. The next prime is 13735284373. The reversal of 13735284372 is 27348253731.

It is a happy number.

13735284372 is a `hidden beast` number, since 13 + 7 + 3 + 528 + 43 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12302359056 + 1432925316 = 110916^2 + 37854^2 .

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 not an unprimeable number, because it can be changed into a prime (13735284373) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 2352243 + ... + 2358074.

It is an arithmetic number, because the mean of its divisors is an integer number (858062929).

Almost surely, 2^13735284372 is an apocalyptic number.

13735284372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13735284372 is an abundant number, since it is smaller than the sum of its proper divisors (22303358646).

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

13735284372 is an equidigital number, since it uses as much as digits as its factorization.

13735284372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710339 (or 4710322 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 13735284372 in words is "thirteen billion, seven hundred thirty-five million, two hundred eighty-four thousand, three hundred seventy-two".