3144826944 has 280 divisors, whose sum is σ = 10798698240. Its totient is φ = 886339584.

The previous prime is 3144826931. The next prime is 3144826967. The reversal of 3144826944 is 4496284413.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3144826944.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2866204 + ... + 2867300.

Almost surely, 2^3144826944 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 3144826944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399349120).

3144826944 is an abundant number, since it is smaller than the sum of its proper divisors (7653871296).

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

3144826944 is a wasteful number, since it uses less digits than its factorization.

3144826944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1188 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3144826944 is about 56078.7566195971. The cubic root of 3144826944 is about 1465.0943175268.

The spelling of 3144826944 in words is "three billion, one hundred forty-four million, eight hundred twenty-six thousand, nine hundred forty-four".