34034880 has 168 divisors, whose sum is σ = 119182896. Its totient is φ = 8222720.

The previous prime is 34034873. The next prime is 34034899. The reversal of 34034880 is 8843043.

It is a super-2 number, since 2×34034880² = 2316746113228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116014 + ... + 116306.

It is an arithmetic number, because the mean of its divisors is an integer number (709422).

Almost surely, 2^34034880 is an apocalyptic number.

34034880 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 34034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59591448).

34034880 is an abundant number, since it is smaller than the sum of its proper divisors (85148016).

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

34034880 is a wasteful number, since it uses less digits than its factorization.

34034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34034880 is about 5833.9420634765. The cubic root of 34034880 is about 324.0719242855.

The spelling of 34034880 in words is "thirty-four million, thirty-four thousand, eight hundred eighty".