3681984768 has 576 divisors, whose sum is σ = 13421721600. Its totient is φ = 867041280.

The previous prime is 3681984767. The next prime is 3681984781. The reversal of 3681984768 is 8674891863.

It is not an unprimeable number, because it can be changed into a prime (3681984767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32583880 + ... + 32583992.

It is an arithmetic number, because the mean of its divisors is an integer number (23301600).

Almost surely, 2^3681984768 is an apocalyptic number.

3681984768 is a gapful number since it is divisible by the number (38) 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 3681984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710860800).

3681984768 is an abundant number, since it is smaller than the sum of its proper divisors (9739736832).

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

3681984768 is a wasteful number, since it uses less digits than its factorization.

3681984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 3681984768 is about 60679.3603130422. The cubic root of 3681984768 is about 1544.1660358193.

The spelling of 3681984768 in words is "three billion, six hundred eighty-one million, nine hundred eighty-four thousand, seven hundred sixty-eight".