3612384 has 96 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 1161216.

The previous prime is 3612341. The next prime is 3612391. The reversal of 3612384 is 4832163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31912 + ... + 32024.

It is an arithmetic number, because the mean of its divisors is an integer number (113715).

Almost surely, 2^3612384 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 3612384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320).

3612384 is an abundant number, since it is smaller than the sum of its proper divisors (7304256).

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

3612384 is a wasteful number, since it uses less digits than its factorization.

3612384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3612384 is about 1900.6272648786. The cubic root of 3612384 is about 153.4374256439.

The spelling of 3612384 in words is "three million, six hundred twelve thousand, three hundred eighty-four".