3982222392480 has 384 divisors, whose sum is σ = 14094876821760. Its totient is φ = 1049985331200.

The previous prime is 3982222392479. The next prime is 3982222392487. The reversal of 3982222392480 is 842932222893.

3982222392480 is a `hidden beast` number, since 3 + 98 + 22 + 22 + 39 + 2 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3982222392487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343378042 + ... + 343389638.

It is an arithmetic number, because the mean of its divisors is an integer number (36705408390).

Almost surely, 2^{3982222392480} is an apocalyptic number.

3982222392480 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 3982222392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047438410880).

3982222392480 is an abundant number, since it is smaller than the sum of its proper divisors (10112654429280).

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

3982222392480 is a wasteful number, since it uses less digits than its factorization.

3982222392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509 (or 12495 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3982222392480 in words is "three trillion, nine hundred eighty-two billion, two hundred twenty-two million, three hundred ninety-two thousand, four hundred eighty".