34139424 has 72 divisors (see below), whose sum is σ = 98537040. Its totient is φ = 10341760.

The previous prime is 34139423. The next prime is 34139449. The reversal of 34139424 is 42493143.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34139391 and 34139400.

It is not an unprimeable number, because it can be changed into a prime (34139423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10147 + ... + 13085.

It is an arithmetic number, because the mean of its divisors is an integer number (1368570).

Almost surely, 2^34139424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34139424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49268520).

34139424 is an abundant number, since it is smaller than the sum of its proper divisors (64397616).

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

34139424 is a wasteful number, since it uses less digits than its factorization.

34139424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2955 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 34139424 is about 5842.8951727718. The cubic root of 34139424 is about 324.4033993794.

The spelling of 34139424 in words is "thirty-four million, one hundred thirty-nine thousand, four hundred twenty-four".