3181077697770 has 640 divisors, whose sum is σ = 10345580568576. Its totient is φ = 685668893184.

The previous prime is 3181077697727. The next prime is 3181077697783. The reversal of 3181077697770 is 777967701813.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3181077697698 and 3181077697707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3865221579 + ... + 3865222401.

Almost surely, 2^{3181077697770} is an apocalyptic number.

3181077697770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3181077697770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172790284288).

3181077697770 is an abundant number, since it is smaller than the sum of its proper divisors (7164502870806).

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

3181077697770 is a wasteful number, since it uses less digits than its factorization.

3181077697770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 21781872, while the sum is 63.

The spelling of 3181077697770 in words is "three trillion, one hundred eighty-one billion, seventy-seven million, six hundred ninety-seven thousand, seven hundred seventy".