34131144324 has 48 divisors (see below), whose sum is σ = 84385760256. Its totient is φ = 10699968000.

The previous prime is 34131144277. The next prime is 34131144329. The reversal of 34131144324 is 42344113143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34131144291 and 34131144300.

It is not an unprimeable number, because it can be changed into a prime (34131144329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221149 + ... + 342299.

It is an arithmetic number, because the mean of its divisors is an integer number (1758036672).

Almost surely, 2^34131144324 is an apocalyptic number.

34131144324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34131144324 is an abundant number, since it is smaller than the sum of its proper divisors (50254615932).

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

34131144324 is a wasteful number, since it uses less digits than its factorization.

34131144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122556 (or 122554 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 34131144324 its reverse (42344113143), we get a palindrome (76475257467).

The spelling of 34131144324 in words is "thirty-four billion, one hundred thirty-one million, one hundred forty-four thousand, three hundred twenty-four".