3144354000 has 320 divisors, whose sum is σ = 11114288640. Its totient is φ = 761241600.

The previous prime is 3144353987. The next prime is 3144354013. The reversal of 3144354000 is 4534413.

It is an interprime number because it is at equal distance from previous prime (3144353987) and next prime (3144354013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2957469 + ... + 2958531.

It is an arithmetic number, because the mean of its divisors is an integer number (34732152).

Almost surely, 2^3144354000 is an apocalyptic number.

3144354000 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 3144354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557144320).

3144354000 is an abundant number, since it is smaller than the sum of its proper divisors (7969934640).

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

3144354000 is a wasteful number, since it uses less digits than its factorization.

3144354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3144354000 is about 56074.5396771119. The cubic root of 3144354000 is about 1465.0208696798.

Adding to 3144354000 its reverse (4534413), we get a palindrome (3148888413).

The spelling of 3144354000 in words is "three billion, one hundred forty-four million, three hundred fifty-four thousand".