3248675144 has 64 divisors (see below), whose sum is σ = 7168150080. Its totient is φ = 1360800000.

The previous prime is 3248675141. The next prime is 3248675153. The reversal of 3248675144 is 4415768423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3248675095 and 3248675104.

It is not an unprimeable number, because it can be changed into a prime (3248675141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799919 + ... + 803969.

It is an arithmetic number, because the mean of its divisors is an integer number (112002345).

Almost surely, 2^3248675144 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 3248675144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584075040).

3248675144 is an abundant number, since it is smaller than the sum of its proper divisors (3919474936).

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

3248675144 is a wasteful number, since it uses less digits than its factorization.

3248675144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4778 counting only the distinct ones).

The product of its digits is 645120, while the sum is 44.

The square root of 3248675144 is about 56997.1503147306. The cubic root of 3248675144 is about 1481.0467309147.

The spelling of 3248675144 in words is "three billion, two hundred forty-eight million, six hundred seventy-five thousand, one hundred forty-four".