3188248830 has 128 divisors (see below), whose sum is σ = 9638092800. Its totient is φ = 743478912.

The previous prime is 3188248771. The next prime is 3188248837. The reversal of 3188248830 is 388428813.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3188248837) 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, 42787 + ... + 90593.

It is an arithmetic number, because the mean of its divisors is an integer number (75297600).

Almost surely, 2^3188248830 is an apocalyptic number.

3188248830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3188248830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819046400).

3188248830 is an abundant number, since it is smaller than the sum of its proper divisors (6449843970).

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

3188248830 is a wasteful number, since it uses less digits than its factorization.

3188248830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47855 (or 47849 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 3188248830 is about 56464.5803136798. The cubic root of 3188248830 is about 1471.8065669023.

The spelling of 3188248830 in words is "three billion, one hundred eighty-eight million, two hundred forty-eight thousand, eight hundred thirty".