3131841676140 has 144 divisors (see below), whose sum is σ = 9749818417248. Its totient is φ = 813418724352.

The previous prime is 3131841676123. The next prime is 3131841676141. The reversal of 3131841676140 is 416761481313.

It is a happy number.

3131841676140 is a `hidden beast` number, since 3 + 1 + 3 + 18 + 4 + 16 + 7 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3131841676141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108859 + ... + 2505101.

It is an arithmetic number, because the mean of its divisors is an integer number (67707072342).

Almost surely, 2^{3131841676140} is an apocalyptic number.

3131841676140 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 3131841676140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874909208624).

3131841676140 is an abundant number, since it is smaller than the sum of its proper divisors (6617976741108).

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

3131841676140 is a wasteful number, since it uses less digits than its factorization.

3131841676140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396448 (or 2396443 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3131841676140 in words is "three trillion, one hundred thirty-one billion, eight hundred forty-one million, six hundred seventy-six thousand, one hundred forty".