3128629844340 has 1152 divisors, whose sum is σ = 13553999101440. Its totient is φ = 588736512000.

The previous prime is 3128629844311. The next prime is 3128629844381. The reversal of 3128629844340 is 434489268213.

It is a happy number.

3128629844340 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 6 + 298 + 4 + 4 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 200532540 + ... + 200548140.

It is an arithmetic number, because the mean of its divisors is an integer number (11765624220).

Almost surely, 2^{3128629844340} is an apocalyptic number.

3128629844340 is a gapful number since it is divisible by the number (30) 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 3128629844340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776999550720).

3128629844340 is an abundant number, since it is smaller than the sum of its proper divisors (10425369257100).

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

3128629844340 is a wasteful number, since it uses less digits than its factorization.

3128629844340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15710 (or 15695 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3128629844340 in words is "three trillion, one hundred twenty-eight billion, six hundred twenty-nine million, eight hundred forty-four thousand, three hundred forty".