3820303872 has 640 divisors, whose sum is σ = 14629063680. Its totient is φ = 955514880.

The previous prime is 3820303871. The next prime is 3820303897. The reversal of 3820303872 is 2783030283.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820303871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39384528 + ... + 39384624.

It is an arithmetic number, because the mean of its divisors is an integer number (22857912).

Almost surely, 2^3820303872 is an apocalyptic number.

3820303872 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 3820303872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314531840).

3820303872 is an abundant number, since it is smaller than the sum of its proper divisors (10808759808).

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

3820303872 is a wasteful number, since it uses less digits than its factorization.

3820303872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3820303872 is about 61808.6067793151. The cubic root of 3820303872 is about 1563.2651139403.

The spelling of 3820303872 in words is "three billion, eight hundred twenty million, three hundred three thousand, eight hundred seventy-two".