3286684800 has 864 divisors, whose sum is σ = 14550290820. Its totient is φ = 701890560.

The previous prime is 3286684789. The next prime is 3286684829. The reversal of 3286684800 is 84866823.

It is a happy number.

3286684800 is a `hidden beast` number, since 32 + 86 + 68 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1806590016 + 1480094784 = 42504^2 + 38472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23990332 + ... + 23990468.

Almost surely, 2^3286684800 is an apocalyptic number.

3286684800 is a gapful number since it is divisible by the number (30) 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 3286684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275145410).

3286684800 is an abundant number, since it is smaller than the sum of its proper divisors (11263606020).

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

3286684800 is a wasteful number, since it uses less digits than its factorization.

3286684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3286684800 is about 57329.6153833252. The cubic root of 3286684800 is about 1486.8004553820.

The spelling of 3286684800 in words is "three billion, two hundred eighty-six million, six hundred eighty-four thousand, eight hundred".