3980468563200 has 540 divisors, whose sum is σ = 15583381935660. Its totient is φ = 999017349120.

The previous prime is 3980468563193. The next prime is 3980468563207. The reversal of 3980468563200 is 23658640893.

3980468563200 is a `hidden beast` number, since 39 + 8 + 0 + 46 + 8 + 563 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3980468563193) and next prime (3980468563207).

It can be written as a sum of positive squares in 6 ways, for example, as 214198649856 + 3766269913344 = 462816^2 + 1940688^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980468563207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8586966 + ... + 9038634.

Almost surely, 2^{3980468563200} is an apocalyptic number.

3980468563200 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 3980468563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791690967830).

3980468563200 is an abundant number, since it is smaller than the sum of its proper divisors (11602913372460).

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

3980468563200 is a wasteful number, since it uses less digits than its factorization.

3980468563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451724 (or 451696 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3980468563200 in words is "three trillion, nine hundred eighty billion, four hundred sixty-eight million, five hundred sixty-three thousand, two hundred".