34139880 has 160 divisors (see below), whose sum is σ = 118004040. Its totient is φ = 8847360.

The previous prime is 34139879. The next prime is 34139909. The reversal of 34139880 is 8893143.

It can be written as a sum of positive squares in 4 ways, for example, as 28579716 + 5560164 = 5346^2 + 2358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132712 + ... + 132968.

Almost surely, 2^34139880 is an apocalyptic number.

34139880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34139880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59002020).

34139880 is an abundant number, since it is smaller than the sum of its proper divisors (83864160).

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

34139880 is a wasteful number, since it uses less digits than its factorization.

34139880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34139880 is about 5842.9341943924. The cubic root of 34139880 is about 324.4048437242.

The spelling of 34139880 in words is "thirty-four million, one hundred thirty-nine thousand, eight hundred eighty".