3838747377664 has 64 divisors (see below), whose sum is σ = 7728231127680. Its totient is φ = 1906660147200.

The previous prime is 3838747377659. The next prime is 3838747377739. The reversal of 3838747377664 is 4667737478383.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4560057 + ... + 5335879.

It is an arithmetic number, because the mean of its divisors is an integer number (120753611370).

Almost surely, 2^{3838747377664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838747377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864115563840).

3838747377664 is an abundant number, since it is smaller than the sum of its proper divisors (3889483750016).

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

3838747377664 is an frugal number, since it uses more digits than its factorization.

3838747377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776004 (or 775976 counting only the distinct ones).

The product of its digits is 2389782528, while the sum is 73.

The spelling of 3838747377664 in words is "three trillion, eight hundred thirty-eight billion, seven hundred forty-seven million, three hundred seventy-seven thousand, six hundred sixty-four".