3802227004900 has 81 divisors (see below), whose sum is σ = 8296998892329. Its totient is φ = 1512428105760.

The previous prime is 3802227004897. The next prime is 3802227004909. The reversal of 3802227004900 is 94007222083.

The square root of 3802227004900 is 1949930.

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., 1368801721764 + 2433425283136 = 1169958^2 + 1559944^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3802227004900.

It is not an unprimeable number, because it can be changed into a prime (3802227004909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4426340671 + ... + 4426341529.

Almost surely, 2^{3802227004900} is an apocalyptic number.

3802227004900 is the 1949930-th square number.

It is an amenable number.

3802227004900 is an abundant number, since it is smaller than the sum of its proper divisors (4494771887429).

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

3802227004900 is an frugal number, since it uses more digits than its factorization.

3802227004900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 3802227004900 in words is "three trillion, eight hundred two billion, two hundred twenty-seven million, four thousand, nine hundred".