34090080 has 192 divisors, whose sum is σ = 116121600. Its totient is φ = 8386560.

The previous prime is 34090057. The next prime is 34090097. The reversal of 34090080 is 8009043.

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 34090080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431481 + ... + 431559.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^34090080 is an apocalyptic number.

34090080 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 34090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

34090080 is an abundant number, since it is smaller than the sum of its proper divisors (82031520).

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

34090080 is a wasteful number, since it uses less digits than its factorization.

34090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 34090080 is about 5838.6710816760. The cubic root of 34090080 is about 324.2470300188.

The spelling of 34090080 in words is "thirty-four million, ninety thousand, eighty".