3712384 has 64 divisors (see below), whose sum is σ = 8396640. Its totient is φ = 1622016.

The previous prime is 3712381. The next prime is 3712393. The reversal of 3712384 is 4832173.

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

It is a d-powerful number, because it can be written as 3 + 7⁵ + 1 + 2 + 3¹³ + 8⁷ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38224 + ... + 38320.

Almost surely, 2^3712384 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 3712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198320).

3712384 is an abundant number, since it is smaller than the sum of its proper divisors (4684256).

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

3712384 is a wasteful number, since it uses less digits than its factorization.

3712384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 3712384 is about 1926.7547846055. The cubic root of 3712384 is about 154.8404045812.

It can be divided in two parts, 3712 and 384, that added together give a 12-th power (4096 = 2¹²).

The spelling of 3712384 in words is "three million, seven hundred twelve thousand, three hundred eighty-four".