34313116644 has 135 divisors (see below), whose sum is σ = 92310226393. Its totient is φ = 11114280000.

The previous prime is 34313116613. The next prime is 34313116681. The reversal of 34313116644 is 44661131343.

The square root of 34313116644 is 185238.

It is a perfect power (a square), and thus also a powerful number.

34313116644 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 3 + 1 + 1 + 6 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1653398244 + 32659718400 = 40662^2 + 180720^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34313116599 and 34313116608.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 136705519 + ... + 136705769.

Almost surely, 2^34313116644 is an apocalyptic number.

34313116644 is the 185238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34313116644

34313116644 is an abundant number, since it is smaller than the sum of its proper divisors (57997109749).

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

34313116644 is an equidigital number, since it uses as much as digits as its factorization.

34313116644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 297 counting only the distinct ones).

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

Multiplying 34313116644 by its sum of digits (36), we get a square (1235272199184 = 1111428²).

34313116644 divided by its sum of digits (36) gives a square (953142129 = 30873²).

Adding to 34313116644 its reverse (44661131343), we get a palindrome (78974247987).

The spelling of 34313116644 in words is "thirty-four billion, three hundred thirteen million, one hundred sixteen thousand, six hundred forty-four".