3128624860032 has 384 divisors, whose sum is σ = 10764666581760. Its totient is φ = 885975293952.

The previous prime is 3128624859953. The next prime is 3128624860103. The reversal of 3128624860032 is 2300684268213.

3128624860032 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 6 + 2 + 4 + 8 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3128624860032.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24539683 + ... + 24666845.

It is an arithmetic number, because the mean of its divisors is an integer number (28032985890).

Almost surely, 2^{3128624860032} is an apocalyptic number.

3128624860032 is a gapful number since it is divisible by the number (32) 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 3128624860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382333290880).

3128624860032 is an abundant number, since it is smaller than the sum of its proper divisors (7636041721728).

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

3128624860032 is a wasteful number, since it uses less digits than its factorization.

3128624860032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127312 (or 127288 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3128624860032 in words is "three trillion, one hundred twenty-eight billion, six hundred twenty-four million, eight hundred sixty thousand, thirty-two".