3334144000 has 272 divisors, whose sum is σ = 9323866656. Its totient is φ = 1179648000.

The previous prime is 3334143971. The next prime is 3334144001. The reversal of 3334144000 is 4414333.

It is a super-2 number, since 2×3334144000² = 22233032425472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334144001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90111982 + ... + 90112018.

Almost surely, 2^3334144000 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 3334144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661933328).

3334144000 is an abundant number, since it is smaller than the sum of its proper divisors (5989722656).

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

3334144000 is an frugal number, since it uses more digits than its factorization.

3334144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3334144000 is about 57742.0470714366. The cubic root of 3334144000 is about 1493.9226698850.

Adding to 3334144000 its reverse (4414333), we get a palindrome (3338558333).

The spelling of 3334144000 in words is "three billion, three hundred thirty-four million, one hundred forty-four thousand".