3794688 has 108 divisors (see below), whose sum is σ = 11532248. Its totient is φ = 1244160.

The previous prime is 3794647. The next prime is 3794711. The reversal of 3794688 is 8864973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62178 + ... + 62238.

Almost surely, 2^3794688 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 3794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766124).

3794688 is an abundant number, since it is smaller than the sum of its proper divisors (7737560).

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

3794688 is an frugal number, since it uses more digits than its factorization.

3794688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3794688 is about 1947.9958932195. The cubic root of 3794688 is about 155.9763277690.

Subtracting from 3794688 its product of digits (290304), we obtain a square (3504384 = 1872²).

The spelling of 3794688 in words is "three million, seven hundred ninety-four thousand, six hundred eighty-eight".