3144147840 has 448 divisors, whose sum is σ = 11799678240. Its totient is φ = 799248384.

The previous prime is 3144147823. The next prime is 3144147847. The reversal of 3144147840 is 487414413.

It is a happy number.

3144147840 is a `hidden beast` number, since 3 + 144 + 1 + 478 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3144147795 and 3144147804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144147847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10730734 + ... + 10731026.

Almost surely, 2^3144147840 is an apocalyptic number.

3144147840 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 3144147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899839120).

3144147840 is an abundant number, since it is smaller than the sum of its proper divisors (8655530400).

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

3144147840 is an equidigital number, since it uses as much as digits as its factorization.

3144147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3144147840 is about 56072.7013795483. The cubic root of 3144147840 is about 1464.9888508822.

The spelling of 3144147840 in words is "three billion, one hundred forty-four million, one hundred forty-seven thousand, eight hundred forty".