3144581440 has 224 divisors, whose sum is σ = 10054888704. Its totient is φ = 904642560.

The previous prime is 3144581399. The next prime is 3144581467. The reversal of 3144581440 is 441854413.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 3144581396 and 3144581405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315412 + ... + 325228.

It is an arithmetic number, because the mean of its divisors is an integer number (44887896).

Almost surely, 2^3144581440 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 3144581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027444352).

3144581440 is an abundant number, since it is smaller than the sum of its proper divisors (6910307264).

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

3144581440 is a wasteful number, since it uses less digits than its factorization.

3144581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9865 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 3144581440 is about 56076.5676553050. The cubic root of 3144581440 is about 1465.0561918597.

The spelling of 3144581440 in words is "three billion, one hundred forty-four million, five hundred eighty-one thousand, four hundred forty".