3768457680827 has 16 divisors (see below), whose sum is σ = 4354740859392. Its totient is φ = 3194336823360.

The previous prime is 3768457680821. The next prime is 3768457680959. The reversal of 3768457680827 is 7280867548673.

3768457680827 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3768457680827 - 2²⁶ = 3768390571963 is a prime.

It is a super-2 number, since 2×3768457680827² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3768457680821) 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, 7218449 + ... + 7722882.

It is an arithmetic number, because the mean of its divisors is an integer number (272171303712).

Almost surely, 2^{3768457680827} is an apocalyptic number.

3768457680827 is a deficient number, since it is larger than the sum of its proper divisors (586283178565).

3768457680827 is a wasteful number, since it uses less digits than its factorization.

3768457680827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14941738.

The product of its (nonzero) digits is 758661120, while the sum is 71.

The spelling of 3768457680827 in words is "three trillion, seven hundred sixty-eight billion, four hundred fifty-seven million, six hundred eighty thousand, eight hundred twenty-seven".