34039872 has 56 divisors (see below), whose sum is σ = 100076000. Its totient is φ = 11346048.

The previous prime is 34039813. The next prime is 34039879. The reversal of 34039872 is 27893043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34039879) 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, 8122 + ... + 11577.

Almost surely, 2^34039872 is an apocalyptic number.

34039872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34039872 is an abundant number, since it is smaller than the sum of its proper divisors (66036128).

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

34039872 is a wasteful number, since it uses less digits than its factorization.

34039872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19720 (or 19704 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34039872 is about 5834.3698888569. The cubic root of 34039872 is about 324.0877677178.

The spelling of 34039872 in words is "thirty-four million, thirty-nine thousand, eight hundred seventy-two".