34001275 has 48 divisors (see below), whose sum is σ = 55710720. Its totient is φ = 19929600.

The previous prime is 34001273. The next prime is 34001299. The reversal of 34001275 is 57210043.

34001275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34001275 - 2¹ = 34001273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34001273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32206 + ... + 33244.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 2^34001275 is an apocalyptic number.

34001275 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34001275 is a deficient number, since it is larger than the sum of its proper divisors (21709445).

34001275 is a wasteful number, since it uses less digits than its factorization.

34001275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 34001275 is about 5831.0612241684. The cubic root of 34001275 is about 323.9652295919.

The spelling of 34001275 in words is "thirty-four million, one thousand, two hundred seventy-five".