38064877266276 has 243 divisors, whose sum is σ = 118913974904907. Its totient is φ = 10234748805120.

The previous prime is 38064877266263. The next prime is 38064877266277. The reversal of 38064877266276 is 67266277846083.

The square root of 38064877266276 is 6169674.

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

38064877266276 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 487 + 72 + 6 + 6 + 2 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3821594912100 + 34243282354176 = 1954890^2 + 5851776^2 .

It is not an unprimeable number, because it can be changed into a prime (38064877266277) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4405142916 + ... + 4405151556.

Almost surely, 2^{38064877266276} is an apocalyptic number.

38064877266276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38064877266276 is the 6169674-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38064877266276

38064877266276 is an abundant number, since it is smaller than the sum of its proper divisors (80849097638631).

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

38064877266276 is an equidigital number, since it uses as much as digits as its factorization.

38064877266276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17340 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 72.

The spelling of 38064877266276 in words is "thirty-eight trillion, sixty-four billion, eight hundred seventy-seven million, two hundred sixty-six thousand, two hundred seventy-six".