3381216384 has 384 divisors, whose sum is σ = 11760094080. Its totient is φ = 851558400.

The previous prime is 3381216379. The next prime is 3381216481. The reversal of 3381216384 is 4836121833.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×3381216384³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 5625684 + ... + 5626284.

It is an arithmetic number, because the mean of its divisors is an integer number (30625245).

Almost surely, 2^3381216384 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 3381216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880047040).

3381216384 is an abundant number, since it is smaller than the sum of its proper divisors (8378877696).

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

3381216384 is a wasteful number, since it uses less digits than its factorization.

3381216384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 3381216384 is about 58148.2276944018. The cubic root of 3381216384 is about 1500.9203809282.

It can be divided in two parts, 3381 and 216384, that multiplied together give a square (731594304 = 27048²).

The spelling of 3381216384 in words is "three billion, three hundred eighty-one million, two hundred sixteen thousand, three hundred eighty-four".