34041564 has 36 divisors (see below), whose sum is σ = 89792976. Its totient is φ = 10853568.

The previous prime is 34041551. The next prime is 34041569. The reversal of 34041564 is 46514043.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19729 + ... + 21384.

Almost surely, 2^34041564 is an apocalyptic number.

It is an amenable number.

34041564 is an abundant number, since it is smaller than the sum of its proper divisors (55751412).

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

34041564 is a wasteful number, since it uses less digits than its factorization.

34041564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41146 (or 41141 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34041564 is about 5834.5148898602. The cubic root of 34041564 is about 324.0931373759.

The spelling of 34041564 in words is "thirty-four million, forty-one thousand, five hundred sixty-four".