3231870728448 has 288 divisors, whose sum is σ = 9413583459840. Its totient is φ = 980824965120.

The previous prime is 3231870728447. The next prime is 3231870728453. The reversal of 3231870728448 is 8448270781323.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (3231870728447) 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 31 ways as a sum of consecutive naturals, for example, 40043911 + ... + 40124537.

It is an arithmetic number, because the mean of its divisors is an integer number (32686053680).

Almost surely, 2^{3231870728448} is an apocalyptic number.

3231870728448 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 3231870728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706791729920).

3231870728448 is an abundant number, since it is smaller than the sum of its proper divisors (6181712731392).

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

3231870728448 is a wasteful number, since it uses less digits than its factorization.

3231870728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80773 (or 80759 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 3231870728448 in words is "three trillion, two hundred thirty-one billion, eight hundred seventy million, seven hundred twenty-eight thousand, four hundred forty-eight".