34879240 has 64 divisors (see below), whose sum is σ = 90668160. Its totient is φ = 11934720.

The previous prime is 34879157. The next prime is 34879249. The reversal of 34879240 is 4297843.

It is a happy number.

It is a super-2 number, since 2×34879240² = 2433122765955200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34879240.

It is not an unprimeable number, because it can be changed into a prime (34879249) 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, 5149 + ... + 9811.

It is an arithmetic number, because the mean of its divisors is an integer number (1416690).

Almost surely, 2^34879240 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 34879240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334080).

34879240 is an abundant number, since it is smaller than the sum of its proper divisors (55788920).

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

34879240 is a wasteful number, since it uses less digits than its factorization.

34879240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 34879240 is about 5905.8648816240. The cubic root of 34879240 is about 326.7299937387.

The spelling of 34879240 in words is "thirty-four million, eight hundred seventy-nine thousand, two hundred forty".