3793284 has 96 divisors (see below), whose sum is σ = 11182080. Its totient is φ = 1101600.

The previous prime is 3793259. The next prime is 3793289. The reversal of 3793284 is 4823973.

3793284 is a `hidden beast` number, since 379 + 3 + 284 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36777 + ... + 36879.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

Almost surely, 2^3793284 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 3793284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591040).

3793284 is an abundant number, since it is smaller than the sum of its proper divisors (7388796).

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

3793284 is a wasteful number, since it uses less digits than its factorization.

3793284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3793284 is about 1947.6354895103. The cubic root of 3793284 is about 155.9570887891.

It can be divided in two parts, 379 and 3284, that added together give a palindrome (3663).

The spelling of 3793284 in words is "three million, seven hundred ninety-three thousand, two hundred eighty-four".