3823303680 has 528 divisors, whose sum is σ = 15736680960. Its totient is φ = 871907328.

The previous prime is 3823303657. The next prime is 3823303717. The reversal of 3823303680 is 863033283.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8708901 + ... + 8709339.

It is an arithmetic number, because the mean of its divisors is an integer number (29804320).

Almost surely, 2^3823303680 is an apocalyptic number.

3823303680 is a gapful number since it is divisible by the number (30) 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 3823303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868340480).

3823303680 is an abundant number, since it is smaller than the sum of its proper divisors (11913377280).

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

3823303680 is an equidigital number, since it uses as much as digits as its factorization.

3823303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3823303680 is about 61832.8689290736. The cubic root of 3823303680 is about 1563.6741798547.

The spelling of 3823303680 in words is "three billion, eight hundred twenty-three million, three hundred three thousand, six hundred eighty".