3681634784 has 48 divisors (see below), whose sum is σ = 7692411888. Its totient is φ = 1728509952.

The previous prime is 3681634783. The next prime is 3681634793. The reversal of 3681634784 is 4874361863.

3681634784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681634783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233354 + ... + 248630.

It is an arithmetic number, because the mean of its divisors is an integer number (160258581).

Almost surely, 2^3681634784 is an apocalyptic number.

3681634784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681634784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846205944).

3681634784 is an abundant number, since it is smaller than the sum of its proper divisors (4010777104).

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

3681634784 is a wasteful number, since it uses less digits than its factorization.

3681634784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15747 (or 15739 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The square root of 3681634784 is about 60676.4763644034. The cubic root of 3681634784 is about 1544.1171083555.

The spelling of 3681634784 in words is "three billion, six hundred eighty-one million, six hundred thirty-four thousand, seven hundred eighty-four".