3820600224 has 480 divisors, whose sum is σ = 13523811840. Its totient is φ = 1035514368.

The previous prime is 3820600193. The next prime is 3820600253. The reversal of 3820600224 is 4220060283.

3820600224 is a `hidden beast` number, since 38 + 2 + 0 + 600 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46031287 + ... + 46031369.

It is an arithmetic number, because the mean of its divisors is an integer number (28174608).

Almost surely, 2^3820600224 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 3820600224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761905920).

3820600224 is an abundant number, since it is smaller than the sum of its proper divisors (9703211616).

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

3820600224 is a wasteful number, since it uses less digits than its factorization.

3820600224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3820600224 is about 61811.0040688549. The cubic root of 3820600224 is about 1563.3055352244.

The spelling of 3820600224 in words is "three billion, eight hundred twenty million, six hundred thousand, two hundred twenty-four".