3314442000 has 160 divisors (see below), whose sum is σ = 10754490240. Its totient is φ = 878169600.

The previous prime is 3314441989. The next prime is 3314442037. The reversal of 3314442000 is 2444133.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976306 + ... + 979694.

It is an arithmetic number, because the mean of its divisors is an integer number (67215564).

Almost surely, 2^3314442000 is an apocalyptic number.

3314442000 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 3314442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377245120).

3314442000 is an abundant number, since it is smaller than the sum of its proper divisors (7440048240).

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

3314442000 is a wasteful number, since it uses less digits than its factorization.

3314442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3314442000 is about 57571.1907120219. The cubic root of 3314442000 is about 1490.9742438584.

Adding to 3314442000 its reverse (2444133), we get a palindrome (3316886133).

The spelling of 3314442000 in words is "three billion, three hundred fourteen million, four hundred forty-two thousand".