3611328 has 56 divisors (see below), whose sum is σ = 10924032. Its totient is φ = 1031424.

The previous prime is 3611323. The next prime is 3611329. The reversal of 3611328 is 8231163.

3611328 is a nontrivial binomial coefficient, being equal to C(2688, 2).

It is a tau number, because it is divible by the number of its divisors (56).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3611298 and 3611307.

It is not an unprimeable number, because it can be changed into a prime (3611323) 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, 1 + ... + 2687.

It is an arithmetic number, because the mean of its divisors is an integer number (195072).

Almost surely, 2^3611328 is an apocalyptic number.

3611328 is the 2687-th triangular number and also the 1344-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462016).

3611328 is an abundant number, since it is smaller than the sum of its proper divisors (7312704).

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

3611328 is a wasteful number, since it uses less digits than its factorization.

3611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2699 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 3611328 is about 1900.3494415502. The cubic root of 3611328 is about 153.4224728489.

The spelling of 3611328 in words is "three million, six hundred eleven thousand, three hundred twenty-eight".