34055088 has 80 divisors (see below), whose sum is σ = 92970240. Its totient is φ = 10720512.

The previous prime is 34055053. The next prime is 34055089. The reversal of 34055088 is 88055043.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34055089) 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 15 ways as a sum of consecutive naturals, for example, 120195 + ... + 120477.

It is an arithmetic number, because the mean of its divisors is an integer number (1162128).

Almost surely, 2^34055088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34055088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46485120).

34055088 is an abundant number, since it is smaller than the sum of its proper divisors (58915152).

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

34055088 is a wasteful number, since it uses less digits than its factorization.

34055088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 34055088 is about 5835.6737400235. The cubic root of 34055088 is about 324.1360501642.

The spelling of 34055088 in words is "thirty-four million, fifty-five thousand, eighty-eight".