3273888 has 48 divisors (see below), whose sum is σ = 8739360. Its totient is φ = 1072896.

The previous prime is 3273869. The next prime is 3273899. The reversal of 3273888 is 8883723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 6178 + ... + 6686.

It is an arithmetic number, because the mean of its divisors is an integer number (182070).

Almost surely, 2^3273888 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 3273888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369680).

3273888 is an abundant number, since it is smaller than the sum of its proper divisors (5465472).

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

3273888 is a wasteful number, since it uses less digits than its factorization.

3273888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 3273888 is about 1809.3888470973. The cubic root of 3273888 is about 148.4868312416.

It can be divided in two parts, 32 and 73888, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 3273888 in words is "three million, two hundred seventy-three thousand, eight hundred eighty-eight".