3663278784 has 280 divisors, whose sum is σ = 11940527808. Its totient is φ = 1101288960.

The previous prime is 3663278761. The next prime is 3663278803. The reversal of 3663278784 is 4878723663.

3663278784 is a `hidden beast` number, since 366 + 3 + 278 + 7 + 8 + 4 = 666.

It is a super-3 number, since 3×3663278784³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3663278784.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12944307 + ... + 12944589.

Almost surely, 2^3663278784 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 3663278784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970263904).

3663278784 is an abundant number, since it is smaller than the sum of its proper divisors (8277249024).

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

3663278784 is a wasteful number, since it uses less digits than its factorization.

3663278784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 3663278784 is about 60525.0260966486. The cubic root of 3663278784 is about 1541.5465971542.

The spelling of 3663278784 in words is "three billion, six hundred sixty-three million, two hundred seventy-eight thousand, seven hundred eighty-four".