3983645772480 has 224 divisors, whose sum is σ = 13816751079168. Its totient is φ = 964412928000.

The previous prime is 3983645772467. The next prime is 3983645772481. The reversal of 3983645772480 is 842775463893.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (3983645772481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7483155 + ... + 7997805.

Almost surely, 2^{3983645772480} is an apocalyptic number.

3983645772480 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 3983645772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908375539584).

3983645772480 is an abundant number, since it is smaller than the sum of its proper divisors (9833105306688).

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

3983645772480 is a wasteful number, since it uses less digits than its factorization.

3983645772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515415 (or 515405 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 3983645772480 in words is "three trillion, nine hundred eighty-three billion, six hundred forty-five million, seven hundred seventy-two thousand, four hundred eighty".