3983454742320 has 240 divisors, whose sum is σ = 13632923285280. Its totient is φ = 1042002284544.

The previous prime is 3983454742283. The next prime is 3983454742343. The reversal of 3983454742320 is 232474543893.

It is a happy number.

3983454742320 is a `hidden beast` number, since 3 + 9 + 8 + 34 + 547 + 42 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3983454742320² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307524964 + ... + 307537916.

It is an arithmetic number, because the mean of its divisors is an integer number (56803847022).

Almost surely, 2^{3983454742320} is an apocalyptic number.

3983454742320 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 3983454742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816461642640).

3983454742320 is an abundant number, since it is smaller than the sum of its proper divisors (9649468542960).

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

3983454742320 is a wasteful number, since it uses less digits than its factorization.

3983454742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21084 (or 21075 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 3983454742320 in words is "three trillion, nine hundred eighty-three billion, four hundred fifty-four million, seven hundred forty-two thousand, three hundred twenty".