3761284839312 has 720 divisors, whose sum is σ = 13531218946560. Its totient is φ = 891595837440.

The previous prime is 3761284839287. The next prime is 3761284839317. The reversal of 3761284839312 is 2139384821673.

It is not an unprimeable number, because it can be changed into a prime (3761284839317) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 329267233 + ... + 329278655.

It is an arithmetic number, because the mean of its divisors is an integer number (18793359648).

Almost surely, 2^{3761284839312} 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 3761284839312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765609473280).

3761284839312 is an abundant number, since it is smaller than the sum of its proper divisors (9769934107248).

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

3761284839312 is a wasteful number, since it uses less digits than its factorization.

3761284839312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11572 (or 11548 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 3761284839312 in words is "three trillion, seven hundred sixty-one billion, two hundred eighty-four million, eight hundred thirty-nine thousand, three hundred twelve".