3134020538376 has 288 divisors, whose sum is σ = 10643583951000. Its totient is φ = 825754245120.

The previous prime is 3134020538371. The next prime is 3134020538437. The reversal of 3134020538376 is 6738350204313.

3134020538376 is a `hidden beast` number, since 3 + 1 + 3 + 40 + 2 + 0 + 538 + 3 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3124303704900 + 9716833476 = 1767570^2 + 98574^2 .

It is not an unprimeable number, because it can be changed into a prime (3134020538371) 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 71 ways as a sum of consecutive naturals, for example, 48078766 + ... + 48143906.

Almost surely, 2^{3134020538376} is an apocalyptic number.

3134020538376 is a gapful number since it is divisible by the number (36) 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 3134020538376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321791975500).

3134020538376 is an abundant number, since it is smaller than the sum of its proper divisors (7509563412624).

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

3134020538376 is a wasteful number, since it uses less digits than its factorization.

3134020538376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66229 (or 66215 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3134020538376 in words is "three trillion, one hundred thirty-four billion, twenty million, five hundred thirty-eight thousand, three hundred seventy-six".