3311364 has 48 divisors (see below), whose sum is σ = 8960000. Its totient is φ = 932256.

The previous prime is 3311359. The next prime is 3311401. The reversal of 3311364 is 4631133.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3311364.

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, 6387 + ... + 6885.

Almost surely, 2^3311364 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 3311364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480000).

3311364 is an abundant number, since it is smaller than the sum of its proper divisors (5648636).

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

3311364 is a wasteful number, since it uses less digits than its factorization.

3311364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 3311364 is about 1819.7153623575. The cubic root of 3311364 is about 149.0512563323.

Adding to 3311364 its reverse (4631133), we get a palindrome (7942497).

The spelling of 3311364 in words is "three million, three hundred eleven thousand, three hundred sixty-four".