3820900032 has 84 divisors (see below), whose sum is σ = 11240297560. Its totient is φ = 1272776832.

The previous prime is 3820900007. The next prime is 3820900033. The reversal of 3820900032 is 2300090283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a junction number, because it is equal to n+sod(n) for n = 3820899969 and 3820900005.

It is not an unprimeable number, because it can be changed into a prime (3820900033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2568793 + ... + 2570279.

Almost surely, 2^3820900032 is an apocalyptic number.

3820900032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620148780).

3820900032 is an abundant number, since it is smaller than the sum of its proper divisors (7419397528).

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

3820900032 is an frugal number, since it uses more digits than its factorization.

3820900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3820900032 is about 61813.4292205181. The cubic root of 3820900032 is about 1563.3464257669.

Multiplying 3820900032 by its sum of digits (27), we get a square (103164300864 = 321192²).

3820900032 divided by its sum of digits (27) gives a square (141514816 = 11896²).

The spelling of 3820900032 in words is "three billion, eight hundred twenty million, nine hundred thousand, thirty-two".