34342672 has 80 divisors (see below), whose sum is σ = 83050240. Its totient is φ = 13395456.

The previous prime is 34342667. The next prime is 34342687. The reversal of 34342672 is 27624343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149854 + ... + 150082.

It is an arithmetic number, because the mean of its divisors is an integer number (1038128).

Almost surely, 2^34342672 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 34342672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41525120).

34342672 is an abundant number, since it is smaller than the sum of its proper divisors (48707568).

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

34342672 is a wasteful number, since it uses less digits than its factorization.

34342672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its digits is 24192, while the sum is 31.

The square root of 34342672 is about 5860.2621101790. The cubic root of 34342672 is about 325.0459012092.

The spelling of 34342672 in words is "thirty-four million, three hundred forty-two thousand, six hundred seventy-two".