34055505 has 128 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 14515200.

The previous prime is 34055501. The next prime is 34055509. The reversal of 34055505 is 50555043.

It is an interprime number because it is at equal distance from previous prime (34055501) and next prime (34055509).

It is not a de Polignac number, because 34055505 - 2² = 34055501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34055501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 479620 + ... + 479690.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 2^34055505 is an apocalyptic number.

It is an amenable number.

34055505 is an abundant number, since it is smaller than the sum of its proper divisors (40594095).

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

34055505 is a wasteful number, since it uses less digits than its factorization.

34055505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 34055505 is about 5835.7094684365. The cubic root of 34055505 is about 324.1373731596.

The spelling of 34055505 in words is "thirty-four million, fifty-five thousand, five hundred five".