34879280 has 40 divisors (see below), whose sum is σ = 81756672. Its totient is φ = 13837824.

The previous prime is 34879267. The next prime is 34879283. The reversal of 34879280 is 8297843.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (34879283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8444 + ... + 11876.

Almost surely, 2^34879280 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 34879280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40878336).

34879280 is an abundant number, since it is smaller than the sum of its proper divisors (46877392).

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

34879280 is a wasteful number, since it uses less digits than its factorization.

34879280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 34879280 is about 5905.8682680873. The cubic root of 34879280 is about 326.7301186382.

The spelling of 34879280 in words is "thirty-four million, eight hundred seventy-nine thousand, two hundred eighty".