3144451968 has 256 divisors, whose sum is σ = 11166144000. Its totient is φ = 851005440.

The previous prime is 3144451967. The next prime is 3144452011. The reversal of 3144451968 is 8691544413.

3144451968 is a `hidden beast` number, since 3 + 14 + 445 + 196 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144451967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456228 + ... + 463068.

It is an arithmetic number, because the mean of its divisors is an integer number (43617750).

Almost surely, 2^3144451968 is an apocalyptic number.

3144451968 is a gapful number since it is divisible by the number (38) 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 3144451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583072000).

3144451968 is an abundant number, since it is smaller than the sum of its proper divisors (8021692032).

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

3144451968 is a wasteful number, since it uses less digits than its factorization.

3144451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6872 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3144451968 is about 56075.4132218390. The cubic root of 3144451968 is about 1465.0360846412.

The spelling of 3144451968 in words is "three billion, one hundred forty-four million, four hundred fifty-one thousand, nine hundred sixty-eight".