34289904 has 80 divisors (see below), whose sum is σ = 97743744. Its totient is φ = 10272000.

The previous prime is 34289903. The next prime is 34289917. The reversal of 34289904 is 40998243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34289903) 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, 53007 + ... + 53649.

Almost surely, 2^34289904 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 34289904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48871872).

34289904 is an abundant number, since it is smaller than the sum of its proper divisors (63453840).

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

34289904 is a wasteful number, since it uses less digits than its factorization.

34289904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 34289904 is about 5855.7581917289. The cubic root of 34289904 is about 324.8793366662.

The spelling of 34289904 in words is "thirty-four million, two hundred eighty-nine thousand, nine hundred four".