3613473082800 has 1260 divisors, whose sum is σ = 15114027171600. Its totient is φ = 812866959360.

The previous prime is 3613473082787. The next prime is 3613473082801. The reversal of 3613473082800 is 82803743163.

3613473082800 is a `hidden beast` number, since 3 + 61 + 3 + 4 + 7 + 308 + 280 + 0 = 666.

3613473082800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is not an unprimeable number, because it can be changed into a prime (3613473082801) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 24251497126 + ... + 24251497274.

It is an arithmetic number, because the mean of its divisors is an integer number (11995259660).

Almost surely, 2^{3613473082800} is an apocalyptic number.

3613473082800 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 3613473082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557013585800).

3613473082800 is an abundant number, since it is smaller than the sum of its proper divisors (11500554088800).

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

3613473082800 is a wasteful number, since it uses less digits than its factorization.

3613473082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3613473082800 in words is "three trillion, six hundred thirteen billion, four hundred seventy-three million, eighty-two thousand, eight hundred".