34274880 has 112 divisors (see below), whose sum is σ = 120944640. Its totient is φ = 9137664.

The previous prime is 34274857. The next prime is 34274909. The reversal of 34274880 is 8847243.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6657 + ... + 10623.

Almost surely, 2^34274880 is an apocalyptic number.

34274880 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 34274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60472320).

34274880 is an abundant number, since it is smaller than the sum of its proper divisors (86669760).

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

34274880 is a wasteful number, since it uses less digits than its factorization.

34274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 34274880 is about 5854.4752113234. The cubic root of 34274880 is about 324.8318814912.

The spelling of 34274880 in words is "thirty-four million, two hundred seventy-four thousand, eight hundred eighty".