3603264 has 84 divisors (see below), whose sum is σ = 11119104. Its totient is φ = 1026816.

The previous prime is 3603253. The next prime is 3603277. The reversal of 3603264 is 4623063.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×3603264² = 25967022907392, 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 11 ways as a sum of consecutive naturals, for example, 9217 + ... + 9599.

Almost surely, 2^3603264 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 3603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559552).

3603264 is an abundant number, since it is smaller than the sum of its proper divisors (7515840).

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

3603264 is a wasteful number, since it uses less digits than its factorization.

3603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3603264 is about 1898.2265407480. The cubic root of 3603264 is about 153.3081916350.

The spelling of 3603264 in words is "three million, six hundred three thousand, two hundred sixty-four".