3311813824 has 112 divisors (see below), whose sum is σ = 7441606656. Its totient is φ = 1448755200.

The previous prime is 3311813821. The next prime is 3311813837. The reversal of 3311813824 is 4283181133.

It is a super-2 number, since 2×3311813824² = 21936221609675005952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3311813824.

It is not an unprimeable number, because it can be changed into a prime (3311813821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5739424 + ... + 5740000.

Almost surely, 2^3311813824 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 3311813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720803328).

3311813824 is an abundant number, since it is smaller than the sum of its proper divisors (4129792832).

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

3311813824 is a wasteful number, since it uses less digits than its factorization.

3311813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 884 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 3311813824 is about 57548.3607412062. The cubic root of 3311813824 is about 1490.5800519237.

Adding to 3311813824 its reverse (4283181133), we get a palindrome (7594994957).

The spelling of 3311813824 in words is "three billion, three hundred eleven million, eight hundred thirteen thousand, eight hundred twenty-four".