3792256 has 64 divisors (see below), whose sum is σ = 8482320. Its totient is φ = 1677312.

The previous prime is 3792253. The next prime is 3792259. The reversal of 3792256 is 6522973.

It is a happy number.

3792256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3792253) and next prime (3792259).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3792251) by changing a digit.

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, 71526 + ... + 71578.

Almost surely, 2^3792256 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 3792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241160).

3792256 is an abundant number, since it is smaller than the sum of its proper divisors (4690064).

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

3792256 is a wasteful number, since it uses less digits than its factorization.

3792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 3792256 is about 1947.3715618751. The cubic root of 3792256 is about 155.9429991180.

The spelling of 3792256 in words is "three million, seven hundred ninety-two thousand, two hundred fifty-six".