34514080 has 48 divisors (see below), whose sum is σ = 86342760. Its totient is φ = 12992512.

The previous prime is 34514069. The next prime is 34514083. The reversal of 34514080 is 8041543.

34514080 = T₁₁₃ + T₁₁₄ + ... + T₅₉₂.

It can be written as a sum of positive squares in 4 ways, for example, as 25441936 + 9072144 = 5044^2 + 3012^2 .

It is not an unprimeable number, because it can be changed into a prime (34514083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3625 + ... + 9064.

Almost surely, 2^34514080 is an apocalyptic number.

It is an amenable number.

34514080 is an abundant number, since it is smaller than the sum of its proper divisors (51828680).

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

34514080 is a wasteful number, since it uses less digits than its factorization.

34514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12721 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 34514080 is about 5874.8685091668. The cubic root of 34514080 is about 325.5857837788.

The spelling of 34514080 in words is "thirty-four million, five hundred fourteen thousand, eighty".