34656444 has 48 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 11440368.

The previous prime is 34656403. The next prime is 34656467. The reversal of 34656444 is 44465643.

34656444 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 644 + 4 = 666.

It is a super-2 number, since 2×34656444² = 2402138221450272, 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 = 34656399 and 34656408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10057 + ... + 13055.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^34656444 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 34656444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

34656444 is an abundant number, since it is smaller than the sum of its proper divisors (56063556).

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

34656444 is a wasteful number, since it uses less digits than its factorization.

34656444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3111 counting only the distinct ones).

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

The square root of 34656444 is about 5886.9723967418. The cubic root of 34656444 is about 326.0328294438.

The spelling of 34656444 in words is "thirty-four million, six hundred fifty-six thousand, four hundred forty-four".