3663268416 has 280 divisors, whose sum is σ = 11285524800. Its totient is φ = 1174238208.

The previous prime is 3663268393. The next prime is 3663268417. The reversal of 3663268416 is 6148623663.

3663268416 is a `hidden beast` number, since 3 + 6 + 632 + 6 + 8 + 4 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (746496) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (3663268417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18408285 + ... + 18408483.

Almost surely, 2^3663268416 is an apocalyptic number.

3663268416 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 3663268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642762400).

3663268416 is an abundant number, since it is smaller than the sum of its proper divisors (7622256384).

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

3663268416 is a wasteful number, since it uses less digits than its factorization.

3663268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3663268416 is about 60524.9404460674. The cubic root of 3663268416 is about 1541.5451428313.

The spelling of 3663268416 in words is "three billion, six hundred sixty-three million, two hundred sixty-eight thousand, four hundred sixteen".