34000461 has 24 divisors (see below), whose sum is σ = 54493920. Its totient is φ = 20253600.

The previous prime is 34000453. The next prime is 34000501. The reversal of 34000461 is 16400043.

It is not a de Polignac number, because 34000461 - 2³ = 34000453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2931 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (2270580).

Almost surely, 2^34000461 is an apocalyptic number.

It is an amenable number.

34000461 is a deficient number, since it is larger than the sum of its proper divisors (20493459).

34000461 is a wasteful number, since it uses less digits than its factorization.

34000461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34000461 is about 5830.9914251352. The cubic root of 34000461 is about 323.9626442986.

The spelling of 34000461 in words is "thirty-four million, four hundred sixty-one", and thus it is an aban number.