34112880 has 160 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 8552448.

The previous prime is 34112843. The next prime is 34112891. The reversal of 34112880 is 8821143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36256 + ... + 37184.

It is an arithmetic number, because the mean of its divisors is an integer number (778410).

Almost surely, 2^34112880 is an apocalyptic number.

34112880 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 34112880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

34112880 is an abundant number, since it is smaller than the sum of its proper divisors (90432720).

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

34112880 is a wasteful number, since it uses less digits than its factorization.

34112880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 34112880 is about 5840.6232544139. The cubic root of 34112880 is about 324.3193011384.

The spelling of 34112880 in words is "thirty-four million, one hundred twelve thousand, eight hundred eighty".