3381192288 has 192 divisors, whose sum is σ = 10501021440. Its totient is φ = 1054771200.

The previous prime is 3381192281. The next prime is 3381192299. The reversal of 3381192288 is 8822911833.

It is a happy number.

3381192288 is a `hidden beast` number, since 3 + 381 + 192 + 2 + 88 = 666.

It is a super-2 number, since 2×3381192288² = 22864922576861349888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381192281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3098623 + ... + 3099713.

It is an arithmetic number, because the mean of its divisors is an integer number (54692820).

Almost surely, 2^3381192288 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 3381192288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250510720).

3381192288 is an abundant number, since it is smaller than the sum of its proper divisors (7119829152).

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

3381192288 is a wasteful number, since it uses less digits than its factorization.

3381192288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1324 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 3381192288 is about 58148.0204994117. The cubic root of 3381192288 is about 1500.9168155187.

The spelling of 3381192288 in words is "three billion, three hundred eighty-one million, one hundred ninety-two thousand, two hundred eighty-eight".