34540080 has 80 divisors (see below), whose sum is σ = 108635904. Its totient is φ = 9076480.

The previous prime is 34540069. The next prime is 34540087. The reversal of 34540080 is 8004543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34540080.

It is not an unprimeable number, because it can be changed into a prime (34540087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16027 + ... + 18053.

Almost surely, 2^34540080 is an apocalyptic number.

34540080 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 34540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54317952).

34540080 is an abundant number, since it is smaller than the sum of its proper divisors (74095824).

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

34540080 is a wasteful number, since it uses less digits than its factorization.

34540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 34540080 is about 5877.0809080699. The cubic root of 34540080 is about 325.6675195574.

The spelling of 34540080 in words is "thirty-four million, five hundred forty thousand, eighty".