3144143640 has 256 divisors, whose sum is σ = 10531192320. Its totient is φ = 744611840.

The previous prime is 3144143633. The next prime is 3144143647. The reversal of 3144143640 is 463414413.

It is an interprime number because it is at equal distance from previous prime (3144143633) and next prime (3144143647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3144143598 and 3144143607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144143647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15960022 + ... + 15960218.

It is an arithmetic number, because the mean of its divisors is an integer number (41137470).

Almost surely, 2^3144143640 is an apocalyptic number.

3144143640 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 3144143640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265596160).

3144143640 is an abundant number, since it is smaller than the sum of its proper divisors (7387048680).

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

3144143640 is a wasteful number, since it uses less digits than its factorization.

3144143640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3144143640 is about 56072.6639281567. The cubic root of 3144143640 is about 1464.9881985638.

The spelling of 3144143640 in words is "three billion, one hundred forty-four million, one hundred forty-three thousand, six hundred forty".