34312044240 has 60 divisors (see below), whose sum is σ = 115231284324. Its totient is φ = 9149878272.

The previous prime is 34312044181. The next prime is 34312044271. The reversal of 34312044240 is 4244021343.

It is a happy number.

34312044240 is a `hidden beast` number, since 3 + 4 + 31 + 204 + 424 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20275481664 + 14036562576 = 142392^2 + 118476^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23827089 + ... + 23828528.

Almost surely, 2^34312044240 is an apocalyptic number.

34312044240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34312044240 is an abundant number, since it is smaller than the sum of its proper divisors (80919240084).

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

34312044240 is a wasteful number, since it uses less digits than its factorization.

34312044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47655636 (or 47655627 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34312044240 its reverse (4244021343), we get a palindrome (38556065583).

The spelling of 34312044240 in words is "thirty-four billion, three hundred twelve million, forty-four thousand, two hundred forty".