3838772768767 has 8 divisors (see below), whose sum is σ = 3864244101120. Its totient is φ = 3813302081400.

The previous prime is 3838772768759. The next prime is 3838772768771. The reversal of 3838772768767 is 7678672778383.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3838772768767 - 2³ = 3838772768759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838772768267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20691138 + ... + 20875840.

It is an arithmetic number, because the mean of its divisors is an integer number (483030512640).

Almost surely, 2^{3838772768767} is an apocalyptic number.

3838772768767 is a deficient number, since it is larger than the sum of its proper divisors (25471332353).

3838772768767 is a wasteful number, since it uses less digits than its factorization.

3838772768767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322493.

The product of its digits is 5576159232, while the sum is 79.

The spelling of 3838772768767 in words is "three trillion, eight hundred thirty-eight billion, seven hundred seventy-two million, seven hundred sixty-eight thousand, seven hundred sixty-seven".