34000972 has 24 divisors (see below), whose sum is σ = 61401312. Its totient is φ = 16464000.

The previous prime is 34000957. The next prime is 34000979. The reversal of 34000972 is 27900043.

It is not an unprimeable number, because it can be changed into a prime (34000979) 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, 24078 + ... + 25450.

It is an arithmetic number, because the mean of its divisors is an integer number (2558388).

Almost surely, 2^34000972 is an apocalyptic number.

It is an amenable number.

34000972 is a deficient number, since it is larger than the sum of its proper divisors (27400340).

34000972 is a wasteful number, since it uses less digits than its factorization.

34000972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 34000972 is about 5831.0352425620. The cubic root of 34000972 is about 323.9642672578.

The spelling of 34000972 in words is "thirty-four million, nine hundred seventy-two", and thus it is an aban number.