34121088 has 96 divisors (see below), whose sum is σ = 101916360. Its totient is φ = 11363328.

The previous prime is 34121053. The next prime is 34121089. The reversal of 34121088 is 88012143.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121089) 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, 30556 + ... + 31652.

Almost surely, 2^34121088 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 34121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50958180).

34121088 is an abundant number, since it is smaller than the sum of its proper divisors (67795272).

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

34121088 is an equidigital number, since it uses as much as digits as its factorization.

34121088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 34121088 is about 5841.3258768879. The cubic root of 34121088 is about 324.3453108582.

The spelling of 34121088 in words is "thirty-four million, one hundred twenty-one thousand, eighty-eight".