3144436320 has 96 divisors (see below), whose sum is σ = 9964539648. Its totient is φ = 833474048.

The previous prime is 3144436319. The next prime is 3144436367. The reversal of 3144436320 is 236344413.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60547 + ... + 99773.

It is an arithmetic number, because the mean of its divisors is an integer number (103797288).

Almost surely, 2^3144436320 is an apocalyptic number.

3144436320 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 3144436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982269824).

3144436320 is an abundant number, since it is smaller than the sum of its proper divisors (6820103328).

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

3144436320 is a wasteful number, since it uses less digits than its factorization.

3144436320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39412 (or 39404 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3144436320 is about 56075.2736952750. The cubic root of 3144436320 is about 1465.0336544432.

The spelling of 3144436320 in words is "three billion, one hundred forty-four million, four hundred thirty-six thousand, three hundred twenty".