3992744448 has 640 divisors, whose sum is σ = 15336161280. Its totient is φ = 1003622400.

The previous prime is 3992744419. The next prime is 3992744471. The reversal of 3992744448 is 8444472993.

3992744448 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 (54).

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

Its product of digits (6967296) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 3992744394 and 3992744403.

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, 128798193 + ... + 128798223.

It is an arithmetic number, because the mean of its divisors is an integer number (23962752).

Almost surely, 2^3992744448 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 3992744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668080640).

3992744448 is an abundant number, since it is smaller than the sum of its proper divisors (11343416832).

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

3992744448 is an equidigital number, since it uses as much as digits as its factorization.

3992744448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3992744448 is about 63188.1669935123. The cubic root of 3992744448 is about 1586.4406818262.

The spelling of 3992744448 in words is "three billion, nine hundred ninety-two million, seven hundred forty-four thousand, four hundred forty-eight".