34045872 has 80 divisors (see below), whose sum is σ = 105826560. Its totient is φ = 9213696.

The previous prime is 34045859. The next prime is 34045873. The reversal of 34045872 is 27854043.

It is not an unprimeable number, because it can be changed into a prime (34045873) 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, 3718 + ... + 9050.

It is an arithmetic number, because the mean of its divisors is an integer number (1322832).

Almost surely, 2^34045872 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 34045872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52913280).

34045872 is an abundant number, since it is smaller than the sum of its proper divisors (71780688).

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

34045872 is a wasteful number, since it uses less digits than its factorization.

34045872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 34045872 is about 5834.8840605448. The cubic root of 34045872 is about 324.1068082552.

The spelling of 34045872 in words is "thirty-four million, forty-five thousand, eight hundred seventy-two".