3132467440 has 80 divisors (see below), whose sum is σ = 7471173600. Its totient is φ = 1220760576.

The previous prime is 3132467419. The next prime is 3132467441. The reversal of 3132467440 is 447642313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3132467396 and 3132467405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132467441) 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, 1750066 + ... + 1751854.

It is an arithmetic number, because the mean of its divisors is an integer number (93389670).

Almost surely, 2^3132467440 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 3132467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735586800).

3132467440 is an abundant number, since it is smaller than the sum of its proper divisors (4338706160).

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

3132467440 is a wasteful number, since it uses less digits than its factorization.

3132467440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 3132467440 is about 55968.4503984164. The cubic root of 3132467440 is about 1463.1724721978.

The spelling of 3132467440 in words is "three billion, one hundred thirty-two million, four hundred sixty-seven thousand, four hundred forty".