3313413144 has 96 divisors (see below), whose sum is σ = 9222520320. Its totient is φ = 1074161088.

The previous prime is 3313413139. The next prime is 3313413151. The reversal of 3313413144 is 4413143133.

3313413144 is a `hidden beast` number, since 3 + 3 + 1 + 341 + 314 + 4 = 666.

3313413144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548589 + ... + 554595.

It is an arithmetic number, because the mean of its divisors is an integer number (96067920).

Almost surely, 2^3313413144 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 3313413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611260160).

3313413144 is an abundant number, since it is smaller than the sum of its proper divisors (5909107176).

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

3313413144 is a wasteful number, since it uses less digits than its factorization.

3313413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6229 (or 6222 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3313413144 is about 57562.2545076198. The cubic root of 3313413144 is about 1490.8199537798.

Adding to 3313413144 its reverse (4413143133), we get a palindrome (7726556277).

The spelling of 3313413144 in words is "three billion, three hundred thirteen million, four hundred thirteen thousand, one hundred forty-four".