3609312 has 96 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 998400.

The previous prime is 3609301. The next prime is 3609329. The reversal of 3609312 is 2139063.

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

It is a super-2 number, since 2×3609312² = 26054266226688, which contains 22 as substring.

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

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, 27487 + ... + 27617.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

Almost surely, 2^3609312 is an apocalyptic number.

3609312 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 3609312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

3609312 is an abundant number, since it is smaller than the sum of its proper divisors (7567392).

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

3609312 is a wasteful number, since it uses less digits than its factorization.

3609312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3609312 is about 1899.8189387413. The cubic root of 3609312 is about 153.3939185075.

The spelling of 3609312 in words is "three million, six hundred nine thousand, three hundred twelve".