34009080 has 64 divisors (see below), whose sum is σ = 116605440. Its totient is φ = 7773312.

The previous prime is 34009057. The next prime is 34009081. The reversal of 34009080 is 8090043.

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 34009080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34009081) 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, 19404 + ... + 21083.

It is an arithmetic number, because the mean of its divisors is an integer number (1821960).

Almost surely, 2^34009080 is an apocalyptic number.

34009080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34009080 is an abundant number, since it is smaller than the sum of its proper divisors (82596360).

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

34009080 is a wasteful number, since it uses less digits than its factorization.

34009080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40508 (or 40504 counting only the distinct ones).

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

The square root of 34009080 is about 5831.7304464455. The cubic root of 34009080 is about 323.9900164581.

The spelling of 34009080 in words is "thirty-four million, nine thousand, eighty".