3294864 has 80 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 1056384.

The previous prime is 3294857. The next prime is 3294871. The reversal of 3294864 is 4684923.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3294857) and next prime (3294871).

It is a super-3 number, since 3×3294864³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam 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, 12397 + ... + 12659.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 2^3294864 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 3294864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

3294864 is an abundant number, since it is smaller than the sum of its proper divisors (6525936).

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

3294864 is a wasteful number, since it uses less digits than its factorization.

3294864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3294864 is about 1815.1760245221. The cubic root of 3294864 is about 148.8032777634.

The spelling of 3294864 in words is "three million, two hundred ninety-four thousand, eight hundred sixty-four".