34664544 has 96 divisors (see below), whose sum is σ = 103148640. Its totient is φ = 11321856.

The previous prime is 34664533. The next prime is 34664549. The reversal of 34664544 is 44546643.

34664544 is a `hidden beast` number, since 3 + 4 + 6 + 645 + 4 + 4 = 666.

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

It is a super-2 number, since 2×34664544² = 2403261221455872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34664499 and 34664508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34664549) 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, 45414 + ... + 46170.

It is an arithmetic number, because the mean of its divisors is an integer number (1074465).

Almost surely, 2^34664544 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 34664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51574320).

34664544 is an abundant number, since it is smaller than the sum of its proper divisors (68484096).

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

34664544 is a wasteful number, since it uses less digits than its factorization.

34664544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 815 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 34664544 is about 5887.6603162886. The cubic root of 34664544 is about 326.0582278969.

The spelling of 34664544 in words is "thirty-four million, six hundred sixty-four thousand, five hundred forty-four".