3645312 has 64 divisors (see below), whose sum is σ = 10575360. Its totient is φ = 1103360.

The previous prime is 3645307. The next prime is 3645347. The reversal of 3645312 is 2135463.

It is a happy number.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3⁷ + 6⁸ + 4 + 5⁹ + 3⁷ + 1 + 2¹³ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3793 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 2^3645312 is an apocalyptic number.

3645312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680).

3645312 is an abundant number, since it is smaller than the sum of its proper divisors (6930048).

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

3645312 is a wasteful number, since it uses less digits than its factorization.

3645312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 879 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 3645312 is about 1909.2700175722. The cubic root of 3645312 is about 153.9022261250.

The spelling of 3645312 in words is "three million, six hundred forty-five thousand, three hundred twelve".