3992736 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1140480.

The previous prime is 3992719. The next prime is 3992741. The reversal of 3992736 is 6372993.

3992736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3992694 and 3992703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19965 + ... + 20163.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 2^3992736 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 3992736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3992736 is an abundant number, since it is smaller than the sum of its proper divisors (8103264).

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

3992736 is a wasteful number, since it uses less digits than its factorization.

3992736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 3992736 is about 1998.1831747865. The cubic root of 3992736 is about 158.6439562942.

The spelling of 3992736 in words is "three million, nine hundred ninety-two thousand, seven hundred thirty-six".