34482564 has 48 divisors (see below), whose sum is σ = 90081600. Its totient is φ = 11406528.

The previous prime is 34482563. The next prime is 34482577. The reversal of 34482564 is 46528443.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34482563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13864 + ... + 16160.

It is an arithmetic number, because the mean of its divisors is an integer number (1876700).

Almost surely, 2^34482564 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 34482564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45040800).

34482564 is an abundant number, since it is smaller than the sum of its proper divisors (55599036).

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

34482564 is a wasteful number, since it uses less digits than its factorization.

34482564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2441 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 34482564 is about 5872.1856237691. The cubic root of 34482564 is about 325.4866523865.

The spelling of 34482564 in words is "thirty-four million, four hundred eighty-two thousand, five hundred sixty-four".