3140384448 has 112 divisors (see below), whose sum is σ = 8805712640. Its totient is φ = 984960000.

The previous prime is 3140384447. The next prime is 3140384459. The reversal of 3140384448 is 8444830413.

It is not an unprimeable number, because it can be changed into a prime (3140384441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547998 + ... + 553698.

Almost surely, 2^3140384448 is an apocalyptic number.

3140384448 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 3140384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402856320).

3140384448 is an abundant number, since it is smaller than the sum of its proper divisors (5665328192).

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

3140384448 is a wasteful number, since it uses less digits than its factorization.

3140384448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 3140384448 is about 56039.1331838743. The cubic root of 3140384448 is about 1464.4041107242.

The spelling of 3140384448 in words is "three billion, one hundred forty million, three hundred eighty-four thousand, four hundred forty-eight".