3820476100 has 81 divisors (see below), whose sum is σ = 9654907437. Its totient is φ = 1308394080.

The previous prime is 3820476089. The next prime is 3820476137. The reversal of 3820476100 is 16740283.

The square root of 3820476100 is 61810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1375371396 + 2445104704 = 37086^2 + 49448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4326259 + ... + 4327141.

Almost surely, 2^3820476100 is an apocalyptic number.

3820476100 is the 61810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820476100

3820476100 is an abundant number, since it is smaller than the sum of its proper divisors (5834431337).

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

3820476100 is an equidigital number, since it uses as much as digits as its factorization.

3820476100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The cubic root of 3820476100 is about 1563.2886054380.

The spelling of 3820476100 in words is "three billion, eight hundred twenty million, four hundred seventy-six thousand, one hundred".