3838577267712 has 1056 divisors, whose sum is σ = 12168408727552. Its totient is φ = 1072963584000.

The previous prime is 3838577267711. The next prime is 3838577267717. The reversal of 3838577267712 is 2177627758383.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838577267711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30225017793 + ... + 30225017919.

Almost surely, 2^{3838577267712} is an apocalyptic number.

3838577267712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838577267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084204363776).

3838577267712 is an abundant number, since it is smaller than the sum of its proper divisors (8329831459840).

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

3838577267712 is a wasteful number, since it uses less digits than its factorization.

3838577267712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 278 counting only the distinct ones).

The product of its digits is 165957120, while the sum is 66.

The spelling of 3838577267712 in words is "three trillion, eight hundred thirty-eight billion, five hundred seventy-seven million, two hundred sixty-seven thousand, seven hundred twelve".