34806564 has 72 divisors (see below), whose sum is σ = 97765920. Its totient is φ = 10704096.

The previous prime is 34806547. The next prime is 34806571. The reversal of 34806564 is 46560843.

It is a super-2 number, since 2×34806564² = 2422993794972192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17299 + ... + 19205.

It is an arithmetic number, because the mean of its divisors is an integer number (1357860).

Almost surely, 2^34806564 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 34806564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48882960).

34806564 is an abundant number, since it is smaller than the sum of its proper divisors (62959356).

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

34806564 is a wasteful number, since it uses less digits than its factorization.

34806564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 34806564 is about 5899.7088063734. The cubic root of 34806564 is about 326.5029060260.

The spelling of 34806564 in words is "thirty-four million, eight hundred six thousand, five hundred sixty-four".