3381180000 has 480 divisors, whose sum is σ = 12470008320. Its totient is φ = 794880000.

The previous prime is 3381179981. The next prime is 3381180001. The reversal of 3381180000 is 811833.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3381180000² = 22864756384800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381180001) 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 79 ways as a sum of consecutive naturals, for example, 31019946 + ... + 31020054.

It is an arithmetic number, because the mean of its divisors is an integer number (25979184).

Almost surely, 2^3381180000 is an apocalyptic number.

3381180000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235004160).

3381180000 is an abundant number, since it is smaller than the sum of its proper divisors (9088828320).

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

3381180000 is a wasteful number, since it uses less digits than its factorization.

3381180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 3381180000 is about 58147.9148379372. The cubic root of 3381180000 is about 1500.9149972954.

Adding to 3381180000 its reverse (811833), we get a palindrome (3381991833).

It can be divided in two parts, 3381 and 180000, that added together give a palindrome (183381).

The spelling of 3381180000 in words is "three billion, three hundred eighty-one million, one hundred eighty thousand".