3766479567138 has 24 divisors (see below), whose sum is σ = 8168485279500. Its totient is φ = 1254296335104.

The previous prime is 3766479567131. The next prime is 3766479567143. The reversal of 3766479567138 is 8317659746673.

3766479567138 is a `hidden beast` number, since 3 + 7 + 6 + 6 + 47 + 9 + 567 + 13 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3367691106129 + 398788461009 = 1835127^2 + 631497^2 .

It is a super-2 number, since 2×3766479567138² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3766479567131) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 99718423 + ... + 99756186.

Almost surely, 2^{3766479567138} is an apocalyptic number.

3766479567138 is an abundant number, since it is smaller than the sum of its proper divisors (4402005712362).

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

3766479567138 is a wasteful number, since it uses less digits than its factorization.

3766479567138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199475666 (or 199475663 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 3766479567138 in words is "three trillion, seven hundred sixty-six billion, four hundred seventy-nine million, five hundred sixty-seven thousand, one hundred thirty-eight".