34483644 has 72 divisors (see below), whose sum is σ = 97384560. Its totient is φ = 10606464.

The previous prime is 34483609. The next prime is 34483661. The reversal of 34483644 is 44638443.

34483644 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 3 + 644 = 666.

34483644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 34483599 and 34483608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11272 + ... + 14000.

Almost surely, 2^34483644 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 34483644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48692280).

34483644 is an abundant number, since it is smaller than the sum of its proper divisors (62900916).

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

34483644 is a wasteful number, since it uses less digits than its factorization.

34483644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2747 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 34483644 is about 5872.2775819949. The cubic root of 34483644 is about 325.4900504508.

The spelling of 34483644 in words is "thirty-four million, four hundred eighty-three thousand, six hundred forty-four".