3892048 has 40 divisors (see below), whose sum is σ = 8202600. Its totient is φ = 1781760.

The previous prime is 3892039. The next prime is 3892051. The reversal of 3892048 is 8402983.

3892048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 3356224 = 732^2 + 1832^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 7 ways as a sum of consecutive naturals, for example, 10978 + ... + 11326.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 2^3892048 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 3892048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101300).

3892048 is an abundant number, since it is smaller than the sum of its proper divisors (4310552).

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

3892048 is a wasteful number, since it uses less digits than its factorization.

3892048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3892048 is about 1972.8274126238. The cubic root of 3892048 is about 157.2990365410.

The spelling of 3892048 in words is "three million, eight hundred ninety-two thousand, forty-eight".