3634449984 has 336 divisors, whose sum is σ = 11811121920. Its totient is φ = 1059102720.

The previous prime is 3634449943. The next prime is 3634449997. The reversal of 3634449984 is 4899444363.

3634449984 is a `hidden beast` number, since 36 + 3 + 44 + 499 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3634449984.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26528764 + ... + 26528900.

Almost surely, 2^3634449984 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 3634449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905560960).

3634449984 is an abundant number, since it is smaller than the sum of its proper divisors (8176671936).

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

3634449984 is a wasteful number, since it uses less digits than its factorization.

3634449984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 3634449984 is about 60286.3996602882. The cubic root of 3634449984 is about 1537.4921209987.

The spelling of 3634449984 in words is "three billion, six hundred thirty-four million, four hundred forty-nine thousand, nine hundred eighty-four".