3144192000 has 416 divisors, whose sum is σ = 11040157440. Its totient is φ = 792985600.

The previous prime is 3144191983. The next prime is 3144192001. The reversal of 3144192000 is 2914413.

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 (3144192001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35327956 + ... + 35328044.

It is an arithmetic number, because the mean of its divisors is an integer number (26538840).

Almost surely, 2^3144192000 is an apocalyptic number.

3144192000 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 3144192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520078720).

3144192000 is an abundant number, since it is smaller than the sum of its proper divisors (7895965440).

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

3144192000 is an equidigital number, since it uses as much as digits as its factorization.

3144192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3144192000 is about 56073.0951526666. The cubic root of 3144192000 is about 1464.9957095084.

The spelling of 3144192000 in words is "three billion, one hundred forty-four million, one hundred ninety-two thousand".