3992181984 has 384 divisors, whose sum is σ = 13934592000. Its totient is φ = 1088017920.

The previous prime is 3992181929. The next prime is 3992182003. The reversal of 3992181984 is 4891812993.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3992181984.

It is a congruent number.

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, 20061117 + ... + 20061315.

It is an arithmetic number, because the mean of its divisors is an integer number (36288000).

Almost surely, 2^3992181984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992181984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296000).

3992181984 is an abundant number, since it is smaller than the sum of its proper divisors (9942410016).

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

3992181984 is a wasteful number, since it uses less digits than its factorization.

3992181984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 3992181984 is about 63183.7161300283. The cubic root of 3992181984 is about 1586.3661835550.

The spelling of 3992181984 in words is "three billion, nine hundred ninety-two million, one hundred eighty-one thousand, nine hundred eighty-four".