34031434140 has 144 divisors (see below), whose sum is σ = 113473616256. Its totient is φ = 8187004800.

The previous prime is 34031434123. The next prime is 34031434159. The reversal of 34031434140 is 4143413043.

34031434140 is a `hidden beast` number, since 3 + 4 + 0 + 314 + 341 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193779 + ... + 324981.

It is an arithmetic number, because the mean of its divisors is an integer number (788011224).

Almost surely, 2^34031434140 is an apocalyptic number.

34031434140 is a gapful number since it is divisible by the number (30) 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 34031434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56736808128).

34031434140 is an abundant number, since it is smaller than the sum of its proper divisors (79442182116).

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

34031434140 is a wasteful number, since it uses less digits than its factorization.

34031434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131360 (or 131355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34031434140 its reverse (4143413043), we get a palindrome (38174847183).

The spelling of 34031434140 in words is "thirty-four billion, thirty-one million, four hundred thirty-four thousand, one hundred forty".