34085088 has 72 divisors (see below), whose sum is σ = 102047400. Its totient is φ = 10761984.

The previous prime is 34085083. The next prime is 34085099. The reversal of 34085088 is 88058043.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34085081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2358 + ... + 8586.

It is an arithmetic number, because the mean of its divisors is an integer number (1417325).

Almost surely, 2^34085088 is an apocalyptic number.

34085088 is a gapful number since it is divisible by the number (38) 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 34085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51023700).

34085088 is an abundant number, since it is smaller than the sum of its proper divisors (67962312).

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

34085088 is a wasteful number, since it uses less digits than its factorization.

34085088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 34085088 is about 5838.2435714862. The cubic root of 34085088 is about 324.2312021476.

The spelling of 34085088 in words is "thirty-four million, eighty-five thousand, eighty-eight".