34346672 has 40 divisors (see below), whose sum is σ = 69787200. Its totient is φ = 16353792.

The previous prime is 34346671. The next prime is 34346731. The reversal of 34346672 is 27664343.

It is not an unprimeable number, because it can be changed into a prime (34346671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36188 + ... + 37124.

It is an arithmetic number, because the mean of its divisors is an integer number (1744680).

Almost surely, 2^34346672 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 34346672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34893600).

34346672 is an abundant number, since it is smaller than the sum of its proper divisors (35440528).

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

34346672 is a wasteful number, since it uses less digits than its factorization.

34346672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1047 counting only the distinct ones).

The product of its digits is 72576, while the sum is 35.

The square root of 34346672 is about 5860.6033819053. The cubic root of 34346672 is about 325.0585204285.

The spelling of 34346672 in words is "thirty-four million, three hundred forty-six thousand, six hundred seventy-two".