34584864 has 96 divisors (see below), whose sum is σ = 97332480. Its totient is φ = 10720512.

The previous prime is 34584863. The next prime is 34584911. The reversal of 34584864 is 46848543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34584864² = 2392225635796992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34584863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122067 + ... + 122349.

It is an arithmetic number, because the mean of its divisors is an integer number (1013880).

Almost surely, 2^34584864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48666240).

34584864 is an abundant number, since it is smaller than the sum of its proper divisors (62747616).

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

34584864 is a wasteful number, since it uses less digits than its factorization.

34584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 34584864 is about 5880.8897286040. The cubic root of 34584864 is about 325.8082101727.

The spelling of 34584864 in words is "thirty-four million, five hundred eighty-four thousand, eight hundred sixty-four".