3677668778112 has 128 divisors (see below), whose sum is σ = 11821078362240. Its totient is φ = 988952936448.

The previous prime is 3677668778111. The next prime is 3677668778137. The reversal of 3677668778112 is 2118778667763.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3677668778112² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3677668778111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40194903 + ... + 40286294.

It is an arithmetic number, because the mean of its divisors is an integer number (92352174705).

Almost surely, 2^{3677668778112} is an apocalyptic number.

3677668778112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3677668778112 is an abundant number, since it is smaller than the sum of its proper divisors (8143409584128).

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

3677668778112 is a wasteful number, since it uses less digits than its factorization.

3677668778112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80481238 (or 80481226 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 69.

The spelling of 3677668778112 in words is "three trillion, six hundred seventy-seven billion, six hundred sixty-eight million, seven hundred seventy-eight thousand, one hundred twelve".