3980995200000 has 3168 divisors, whose sum is σ = 18626507827200. Its totient is φ = 812851200000.

The previous prime is 3980995199999. The next prime is 3980995200041. The reversal of 3980995200000 is 25990893.

3980995200000 is a `hidden beast` number, since 39 + 8 + 0 + 99 + 520 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 128419199985 + ... + 128419200015.

Almost surely, 2^{3980995200000} is an apocalyptic number.

3980995200000 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 3980995200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313253913600).

3980995200000 is an abundant number, since it is smaller than the sum of its proper divisors (14645512627200).

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

3980995200000 is an equidigital number, since it uses as much as digits as its factorization.

3980995200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 3980995200000 in words is "three trillion, nine hundred eighty billion, nine hundred ninety-five million, two hundred thousand".