3820100224 has 32 divisors (see below), whose sum is σ = 7816050900. Its totient is φ = 1858424832.

The previous prime is 3820100213. The next prime is 3820100267. The reversal of 3820100224 is 4220010283.

It can be written as a sum of positive squares in 2 ways, for example, as 3298434624 + 521665600 = 57432^2 + 22840^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 3820100195 and 3820100204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398569 + ... + 408040.

Almost surely, 2^3820100224 is an apocalyptic number.

It is an amenable number.

3820100224 is an abundant number, since it is smaller than the sum of its proper divisors (3995950676).

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

3820100224 is an equidigital number, since it uses as much as digits as its factorization.

3820100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806660 (or 806648 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3820100224 is about 61806.9593492513. The cubic root of 3820100224 is about 1563.2373359169.

The spelling of 3820100224 in words is "three billion, eight hundred twenty million, one hundred thousand, two hundred twenty-four".