3983124480 has 384 divisors, whose sum is σ = 14010796800. Its totient is φ = 961544192.

The previous prime is 3983124469. The next prime is 3983124491. The reversal of 3983124480 is 844213893.

It is an interprime number because it is at equal distance from previous prime (3983124469) and next prime (3983124491).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15144829 + ... + 15145091.

It is an arithmetic number, because the mean of its divisors is an integer number (36486450).

Almost surely, 2^3983124480 is an apocalyptic number.

3983124480 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 3983124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005398400).

3983124480 is an abundant number, since it is smaller than the sum of its proper divisors (10027672320).

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

3983124480 is a wasteful number, since it uses less digits than its factorization.

3983124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3983124480 is about 63111.9994929649. Note that the first 3 decimals coincide. The cubic root of 3983124480 is about 1585.1655537316.

The spelling of 3983124480 in words is "three billion, nine hundred eighty-three million, one hundred twenty-four thousand, four hundred eighty".