34274688 has 128 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 9523200.

The previous prime is 34274687. The next prime is 34274699. The reversal of 34274688 is 88647243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34274683) 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, 110053 + ... + 110363.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^34274688 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 34274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

34274688 is an abundant number, since it is smaller than the sum of its proper divisors (72653952).

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

34274688 is a wasteful number, since it uses less digits than its factorization.

34274688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 34274688 is about 5854.4588135882. The cubic root of 34274688 is about 324.8312749455.

The spelling of 34274688 in words is "thirty-four million, two hundred seventy-four thousand, six hundred eighty-eight".