3248846328 has 256 divisors, whose sum is σ = 10708992000. Its totient is φ = 797382144.

The previous prime is 3248846327. The next prime is 3248846357. The reversal of 3248846328 is 8236488423.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3248846327) 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 63 ways as a sum of consecutive naturals, for example, 2447601 + ... + 2448927.

It is an arithmetic number, because the mean of its divisors is an integer number (41832000).

Almost surely, 2^3248846328 is an apocalyptic number.

3248846328 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 3248846328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354496000).

3248846328 is an abundant number, since it is smaller than the sum of its proper divisors (7460145672).

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

3248846328 is a wasteful number, since it uses less digits than its factorization.

3248846328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 3248846328 is about 56998.6519840601. The cubic root of 3248846328 is about 1481.0727442934.

The spelling of 3248846328 in words is "three billion, two hundred forty-eight million, eight hundred forty-six thousand, three hundred twenty-eight".