3678112800 has 360 divisors, whose sum is σ = 13853613312. Its totient is φ = 948672000.

The previous prime is 3678112733. The next prime is 3678112817. The reversal of 3678112800 is 82118763.

3678112800 is a `hidden beast` number, since 367 + 8 + 11 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2007885 + ... + 2009715.

Almost surely, 2^3678112800 is an apocalyptic number.

3678112800 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 3678112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926806656).

3678112800 is an abundant number, since it is smaller than the sum of its proper divisors (10175500512).

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

3678112800 is a wasteful number, since it uses less digits than its factorization.

3678112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 3678112800 is about 60647.4467723086. The cubic root of 3678112800 is about 1543.6245653081.

The spelling of 3678112800 in words is "three billion, six hundred seventy-eight million, one hundred twelve thousand, eight hundred".