3138768180 has 36 divisors (see below), whose sum is σ = 9520930692. Its totient is φ = 837004800.

The previous prime is 3138768151. The next prime is 3138768263. The reversal of 3138768180 is 818678313.

3138768180 is a `hidden beast` number, since 31 + 387 + 68 + 180 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1665129636 + 1473638544 = 40806^2 + 38388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 8718621 + ... + 8718980.

It is an arithmetic number, because the mean of its divisors is an integer number (264470297).

Almost surely, 2^3138768180 is an apocalyptic number.

3138768180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3138768180 is an abundant number, since it is smaller than the sum of its proper divisors (6382162512).

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

3138768180 is a wasteful number, since it uses less digits than its factorization.

3138768180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17437616 (or 17437611 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 3138768180 is about 56024.7104410188. The cubic root of 3138768180 is about 1464.1528383389.

The spelling of 3138768180 in words is "three billion, one hundred thirty-eight million, seven hundred sixty-eight thousand, one hundred eighty".