3894384 has 60 divisors (see below), whose sum is σ = 10973256. Its totient is φ = 1183104.

The previous prime is 3894353. The next prime is 3894391. The reversal of 3894384 is 4834983.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 49257 + ... + 49335.

Almost surely, 2^3894384 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 3894384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486628).

3894384 is an abundant number, since it is smaller than the sum of its proper divisors (7078872).

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

3894384 is a wasteful number, since it uses less digits than its factorization.

3894384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 97 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 3894384 is about 1973.4193674939. The cubic root of 3894384 is about 157.3305004437.

Multiplying 3894384 by its sum of digits (39), we get a square (151880976 = 12324²).

3894384 divided by its sum of digits (39) gives a square (99856 = 316²).

It can be divided in two parts, 3894 and 384, that added together give a triangular number (4278 = T₉₂).

The spelling of 3894384 in words is "three million, eight hundred ninety-four thousand, three hundred eighty-four".