34104072 has 64 divisors (see below), whose sum is σ = 87736320. Its totient is φ = 11043648.

The previous prime is 34104071. The next prime is 34104073. The reversal of 34104072 is 27040143.

It is an interprime number because it is at equal distance from previous prime (34104071) and next prime (34104073).

It is not an unprimeable number, because it can be changed into a prime (34104071) by changing a digit.

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, 204133 + ... + 204299.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 2^34104072 is an apocalyptic number.

It is an amenable number.

34104072 is an abundant number, since it is smaller than the sum of its proper divisors (53632248).

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

34104072 is a wasteful number, since it uses less digits than its factorization.

34104072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 34104072 is about 5839.8691766169. The cubic root of 34104072 is about 324.2913854821.

The spelling of 34104072 in words is "thirty-four million, one hundred four thousand, seventy-two".