34104972 has 48 divisors (see below), whose sum is σ = 89171712. Its totient is φ = 10054080.

The previous prime is 34104971. The next prime is 34104997. The reversal of 34104972 is 27940143.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34104971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393 + ... + 8375.

It is an arithmetic number, because the mean of its divisors is an integer number (1857744).

Almost surely, 2^34104972 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 34104972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44585856).

34104972 is an abundant number, since it is smaller than the sum of its proper divisors (55066740).

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

34104972 is a wasteful number, since it uses less digits than its factorization.

34104972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 34104972 is about 5839.9462326292. The cubic root of 34104972 is about 324.2942381198.

The spelling of 34104972 in words is "thirty-four million, one hundred four thousand, nine hundred seventy-two".