34042024 has 32 divisors (see below), whose sum is σ = 70528320. Its totient is φ = 15321856.

The previous prime is 34042009. The next prime is 34042033. The reversal of 34042024 is 42024043.

It is a junction number, because it is equal to n+sod(n) for n = 34041992 and 34042010.

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, 2314 + ... + 8569.

It is an arithmetic number, because the mean of its divisors is an integer number (2204010).

Almost surely, 2^34042024 is an apocalyptic number.

34042024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34042024 is an abundant number, since it is smaller than the sum of its proper divisors (36486296).

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

34042024 is a wasteful number, since it uses less digits than its factorization.

34042024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10929 (or 10925 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 34042024 is about 5834.5543103137. The cubic root of 34042024 is about 324.0945971812.

Adding to 34042024 its reverse (42024043), we get a palindrome (76066067).

The spelling of 34042024 in words is "thirty-four million, forty-two thousand, twenty-four".