3663682176 has 384 divisors, whose sum is σ = 12770334720. Its totient is φ = 919296000.

The previous prime is 3663682151. The next prime is 3663682279. The reversal of 3663682176 is 6712863663.

It is a happy number.

3663682176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

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, 6415971 + ... + 6416541.

It is an arithmetic number, because the mean of its divisors is an integer number (33256080).

Almost surely, 2^3663682176 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 3663682176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385167360).

3663682176 is an abundant number, since it is smaller than the sum of its proper divisors (9106652544).

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

3663682176 is a wasteful number, since it uses less digits than its factorization.

3663682176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 625 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 3663682176 is about 60528.3584446167. The cubic root of 3663682176 is about 1541.6031789559.

The spelling of 3663682176 in words is "three billion, six hundred sixty-three million, six hundred eighty-two thousand, one hundred seventy-six".