34014431024 has 40 divisors (see below), whose sum is σ = 75327321600. Its totient is φ = 14575745088.

The previous prime is 34014431023. The next prime is 34014431081. The reversal of 34014431024 is 42013441043.

It is a junction number, because it is equal to n+sod(n) for n = 34014430984 and 34014431002.

It is not an unprimeable number, because it can be changed into a prime (34014431021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1195427 + ... + 1223549.

It is an arithmetic number, because the mean of its divisors is an integer number (1883183040).

Almost surely, 2^34014431024 is an apocalyptic number.

It is an amenable number.

34014431024 is an abundant number, since it is smaller than the sum of its proper divisors (41312890576).

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

34014431024 is a wasteful number, since it uses less digits than its factorization.

34014431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38937 (or 38931 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34014431024 its reverse (42013441043), we get a palindrome (76027872067).

The spelling of 34014431024 in words is "thirty-four billion, fourteen million, four hundred thirty-one thousand, twenty-four".