34131311140 has 24 divisors (see below), whose sum is σ = 71705806200. Its totient is φ = 13646800128.

The previous prime is 34131311129. The next prime is 34131311171. The reversal of 34131311140 is 4111313143.

It can be written as a sum of positive squares in 4 ways, for example, as 3685946944 + 30445364196 = 60712^2 + 174486^2 .

It is a super-3 number, since 3×34131311140³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308715 + ... + 404434.

It is an arithmetic number, because the mean of its divisors is an integer number (2987741925).

Almost surely, 2^34131311140 is an apocalyptic number.

It is an amenable number.

34131311140 is an abundant number, since it is smaller than the sum of its proper divisors (37574495060).

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

34131311140 is a wasteful number, since it uses less digits than its factorization.

34131311140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715551 (or 715549 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 34131311140 its reverse (4111313143), we get a palindrome (38242624283).

The spelling of 34131311140 in words is "thirty-four billion, one hundred thirty-one million, three hundred eleven thousand, one hundred forty".