34289292 has 48 divisors (see below), whose sum is σ = 81849600. Its totient is φ = 11170368.

The previous prime is 34289291. The next prime is 34289293. The reversal of 34289292 is 29298243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34289291) and next prime (34289293).

It is a super-2 number, since 2×34289292² = 2351511091722528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34289292.

It is not an unprimeable number, because it can be changed into a prime (34289291) 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, 172209 + ... + 172407.

It is an arithmetic number, because the mean of its divisors is an integer number (1705200).

Almost surely, 2^34289292 is an apocalyptic number.

It is an amenable number.

34289292 is an abundant number, since it is smaller than the sum of its proper divisors (47560308).

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

34289292 is a wasteful number, since it uses less digits than its factorization.

34289292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

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

The square root of 34289292 is about 5855.7059352396. The cubic root of 34289292 is about 324.8774038589.

It can be divided in two parts, 3428 and 9292, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 34289292 in words is "thirty-four million, two hundred eighty-nine thousand, two hundred ninety-two".