38764490769 has 9 divisors (see below), whose sum is σ = 55994006523. Its totient is φ = 25842600072.

The previous prime is 38764490749. The next prime is 38764490813. The reversal of 38764490769 is 96709446783.

The square root of 38764490769 is 196887.

It is a perfect power (a square), and thus also a powerful number.

38764490769 is a `hidden beast` number, since 3 + 8 + 76 + 4 + 490 + 76 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18080298369 + 20684192400 = 134463^2 + 143820^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 38764490769 - 2³³ = 30174556177 is a prime.

It is a super-2 number, since 2×38764490769² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38764490729) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 557847 + ... + 623475.

Almost surely, 2^38764490769 is an apocalyptic number.

38764490769 is the 196887-th square number.

38764490769 is the 98444-th centered octagonal number.

It is an amenable number.

38764490769 is a deficient number, since it is larger than the sum of its proper divisors (17229515754).

38764490769 is an frugal number, since it uses more digits than its factorization.

38764490769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131264 (or 65632 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 38764490769 in words is "thirty-eight billion, seven hundred sixty-four million, four hundred ninety thousand, seven hundred sixty-nine".