3311442000 has 200 divisors, whose sum is σ = 11961758952. Its totient is φ = 883008000.

The previous prime is 3311441993. The next prime is 3311442023. The reversal of 3311442000 is 2441133.

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 3309470784 = 1404^2 + 57528^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151780 + ... + 172220.

Almost surely, 2^3311442000 is an apocalyptic number.

3311442000 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 3311442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980879476).

3311442000 is an abundant number, since it is smaller than the sum of its proper divisors (8650316952).

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

3311442000 is a wasteful number, since it uses less digits than its factorization.

3311442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20476 (or 20451 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3311442000 is about 57545.1301154146. The cubic root of 3311442000 is about 1490.5242663623.

Adding to 3311442000 its reverse (2441133), we get a palindrome (3313883133).

The spelling of 3311442000 in words is "three billion, three hundred eleven million, four hundred forty-two thousand".