3634009344 has 162 divisors, whose sum is σ = 12188775690. Its totient is φ = 1038256128.

The previous prime is 3634009339. The next prime is 3634009349. The reversal of 3634009344 is 4439004363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3634009339) and next prime (3634009349).

It can be written as a sum of positive squares in only one way, i.e., 2818335744 + 815673600 = 53088^2 + 28560^2 .

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 = 3634009299 and 3634009308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3634009349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96802 + ... + 128990.

Almost surely, 2^3634009344 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 3634009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094387845).

3634009344 is an abundant number, since it is smaller than the sum of its proper divisors (8554766346).

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

3634009344 is a wasteful number, since it uses less digits than its factorization.

3634009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32225 (or 32201 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3634009344 is about 60282.7449939035. The cubic root of 3634009344 is about 1537.4299834068.

The spelling of 3634009344 in words is "three billion, six hundred thirty-four million, nine thousand, three hundred forty-four".