3980995800 has 192 divisors, whose sum is σ = 12567052800. Its totient is φ = 1042368000.

The previous prime is 3980995783. The next prime is 3980995801. The reversal of 3980995800 is 85990893.

3980995800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3980995800³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980995801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10847217 + ... + 10847583.

It is an arithmetic number, because the mean of its divisors is an integer number (65453400).

Almost surely, 2^3980995800 is an apocalyptic number.

3980995800 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 3980995800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283526400).

3980995800 is an abundant number, since it is smaller than the sum of its proper divisors (8586057000).

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

3980995800 is a wasteful number, since it uses less digits than its factorization.

3980995800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 3980995800 is about 63095.1329343239. The cubic root of 3980995800 is about 1584.8831195512.

The spelling of 3980995800 in words is "three billion, nine hundred eighty million, nine hundred ninety-five thousand, eight hundred".