3381313416 has 128 divisors (see below), whose sum is σ = 9672432000. Its totient is φ = 976416768.

The previous prime is 3381313391. The next prime is 3381313417. The reversal of 3381313416 is 6143131833.

3381313416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3381313416² = 22866560834443178112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3381313417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643536 + ... + 648768.

It is an arithmetic number, because the mean of its divisors is an integer number (75565875).

Almost surely, 2^3381313416 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 3381313416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836216000).

3381313416 is an abundant number, since it is smaller than the sum of its proper divisors (6291118584).

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

3381313416 is a wasteful number, since it uses less digits than its factorization.

3381313416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5379 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 3381313416 is about 58149.0620388670. The cubic root of 3381313416 is about 1500.9347382775.

The spelling of 3381313416 in words is "three billion, three hundred eighty-one million, three hundred thirteen thousand, four hundred sixteen".