34258080 has 96 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 9055232.

The previous prime is 34258073. The next prime is 34258093. The reversal of 34258080 is 8085243.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 71281 + ... + 71759.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^34258080 is an apocalyptic number.

34258080 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 34258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

34258080 is an abundant number, since it is smaller than the sum of its proper divisors (74605920).

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

34258080 is a wasteful number, since it uses less digits than its factorization.

34258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 34258080 is about 5853.0402356382. The cubic root of 34258080 is about 324.7788001726.

The spelling of 34258080 in words is "thirty-four million, two hundred fifty-eight thousand, eighty".