3803085022500 has 135 divisors (see below), whose sum is σ = 12013770982213. Its totient is φ = 1014078000000.

The previous prime is 3803085022489. The next prime is 3803085022501. The reversal of 3803085022500 is 52205803083.

The square root of 3803085022500 is 1950150.

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

3803085022500 is a `hidden beast` number, since 3 + 80 + 3 + 0 + 8 + 50 + 22 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3691539710244 + 111545312256 = 1921338^2 + 333984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3803085022501) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 292516000 + ... + 292529000.

Almost surely, 2^{3803085022500} is an apocalyptic number.

3803085022500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3803085022500 is the 1950150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3803085022500

3803085022500 is an abundant number, since it is smaller than the sum of its proper divisors (8210685959713).

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

3803085022500 is an frugal number, since it uses more digits than its factorization.

3803085022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26032 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 3803085022500 by its sum of digits (36), we get a square (136911060810000 = 11700900²).

3803085022500 divided by its sum of digits (36) gives a square (105641250625 = 325025²).

The spelling of 3803085022500 in words is "three trillion, eight hundred three billion, eighty-five million, twenty-two thousand, five hundred".