4003680000 has 360 divisors, whose sum is σ = 14048003200. Its totient is φ = 1009152000.

The previous prime is 4003679993. The next prime is 4003680001. The reversal of 4003680000 is 863004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003680001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9119781 + ... + 9120219.

Almost surely, 2^4003680000 is an apocalyptic number.

4003680000 is a gapful number since it is divisible by the number (40) 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 4003680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024001600).

4003680000 is an abundant number, since it is smaller than the sum of its proper divisors (10044323200).

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

4003680000 is an equidigital number, since it uses as much as digits as its factorization.

4003680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4003680000 is about 63274.6394695379. The cubic root of 4003680000 is about 1587.8877057475.

The spelling of 4003680000 in words is "four billion, three million, six hundred eighty thousand".