3663461376 has 264 divisors, whose sum is σ = 11400152400. Its totient is φ = 1128923136.

The previous prime is 3663461341. The next prime is 3663461381. The reversal of 3663461376 is 6731643663.

3663461376 is a `hidden beast` number, since 3 + 6 + 634 + 6 + 1 + 3 + 7 + 6 = 666.

3663461376 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10496850 + ... + 10497198.

Almost surely, 2^3663461376 is an apocalyptic number.

3663461376 is a gapful number since it is divisible by the number (36) 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 3663461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700076200).

3663461376 is an abundant number, since it is smaller than the sum of its proper divisors (7736691024).

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

3663461376 is a wasteful number, since it uses less digits than its factorization.

3663461376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 3663461376 is about 60526.5344786896. The cubic root of 3663461376 is about 1541.5722089459.

The spelling of 3663461376 in words is "three billion, six hundred sixty-three million, four hundred sixty-one thousand, three hundred seventy-six".