35664444 has 72 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 10768032.

The previous prime is 35664437. The next prime is 35664449. The reversal of 35664444 is 44446653.

35664444 is a `hidden beast` number, since 3 + 5 + 6 + 644 + 4 + 4 = 666.

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 = 35664399 and 35664408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35664449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14599 + ... + 16865.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^35664444 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 35664444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

35664444 is an abundant number, since it is smaller than the sum of its proper divisors (63401796).

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

35664444 is a wasteful number, since it uses less digits than its factorization.

35664444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2314 counting only the distinct ones).

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

The square root of 35664444 is about 5971.9715337567. The cubic root of 35664444 is about 329.1636119854.

The spelling of 35664444 in words is "thirty-five million, six hundred sixty-four thousand, four hundred forty-four".