3314968384 has 336 divisors, whose sum is σ = 8847100416. Its totient is φ = 1219276800.

The previous prime is 3314968373. The next prime is 3314968387. The reversal of 3314968384 is 4838694133.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314968387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54343714 + ... + 54343774.

It is an arithmetic number, because the mean of its divisors is an integer number (26330656).

Almost surely, 2^3314968384 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 3314968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423550208).

3314968384 is an abundant number, since it is smaller than the sum of its proper divisors (5532132032).

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

3314968384 is a wasteful number, since it uses less digits than its factorization.

3314968384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

The square root of 3314968384 is about 57575.7621226155. The cubic root of 3314968384 is about 1491.0531695058.

The spelling of 3314968384 in words is "three billion, three hundred fourteen million, nine hundred sixty-eight thousand, three hundred eighty-four".