3984425760 has 384 divisors, whose sum is σ = 14805504000. Its totient is φ = 881971200.

The previous prime is 3984425759. The next prime is 3984425773. The reversal of 3984425760 is 675244893.

3984425760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20022141 + ... + 20022339.

It is an arithmetic number, because the mean of its divisors is an integer number (38556000).

Almost surely, 2^3984425760 is an apocalyptic number.

3984425760 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 3984425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752000).

3984425760 is an abundant number, since it is smaller than the sum of its proper divisors (10821078240).

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

3984425760 is a wasteful number, since it uses less digits than its factorization.

3984425760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3984425760 is about 63122.3079425966. The cubic root of 3984425760 is about 1585.3381585674.

The spelling of 3984425760 in words is "three billion, nine hundred eighty-four million, four hundred twenty-five thousand, seven hundred sixty".