3667767768 has 48 divisors (see below), whose sum is σ = 11352616080. Its totient is φ = 1047933504.

The previous prime is 3667767767. The next prime is 3667767787. The reversal of 3667767768 is 8677677663.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667767767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3638155 + ... + 3639162.

It is an arithmetic number, because the mean of its divisors is an integer number (236512835).

Almost surely, 2^3667767768 is an apocalyptic number.

It is an amenable number.

3667767768 is an abundant number, since it is smaller than the sum of its proper divisors (7684848312).

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

3667767768 is a wasteful number, since it uses less digits than its factorization.

3667767768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7277336 (or 7277329 counting only the distinct ones).

The product of its digits is 74680704, while the sum is 63.

The square root of 3667767768 is about 60562.0984444892. The cubic root of 3667767768 is about 1542.1760108351.

It can be divided in two parts, 366776 and 7768, that added together give a square (374544 = 612²).

The spelling of 3667767768 in words is "three billion, six hundred sixty-seven million, seven hundred sixty-seven thousand, seven hundred sixty-eight".