3793137798912 has 864 divisors, whose sum is σ = 13166336064000. Its totient is φ = 968051589120.

The previous prime is 3793137798889. The next prime is 3793137798913. The reversal of 3793137798912 is 2198977313973.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793137798913) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1880582928 + ... + 1880584944.

Almost surely, 2^{3793137798912} is an apocalyptic number.

3793137798912 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 3793137798912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583168032000).

3793137798912 is an abundant number, since it is smaller than the sum of its proper divisors (9373198265088).

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

3793137798912 is a wasteful number, since it uses less digits than its factorization.

3793137798912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2099 counting only the distinct ones).

The product of its digits is 108020304, while the sum is 69.

The spelling of 3793137798912 in words is "three trillion, seven hundred ninety-three billion, one hundred thirty-seven million, seven hundred ninety-eight thousand, nine hundred twelve".