3267264 has 224 divisors, whose sum is σ = 12289536. Its totient is φ = 737280.

The previous prime is 3267233. The next prime is 3267289. The reversal of 3267264 is 4627623.

3267264 = T₂₈₇ + T₂₈₈ + ... + T₃₅₀.

3267264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

Its product of digits (12096) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192184 + ... + 192200.

It is an arithmetic number, because the mean of its divisors is an integer number (54864).

Almost surely, 2^3267264 is an apocalyptic number.

3267264 is a gapful number since it is divisible by the number (34) 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 3267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768).

3267264 is an abundant number, since it is smaller than the sum of its proper divisors (9022272).

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

3267264 is a wasteful number, since it uses less digits than its factorization.

3267264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 3267264 is about 1807.5574679661. The cubic root of 3267264 is about 148.3866200281.

The spelling of 3267264 in words is "three million, two hundred sixty-seven thousand, two hundred sixty-four".