3807797471712 has 288 divisors, whose sum is σ = 12280030963200. Its totient is φ = 1109522727936.

The previous prime is 3807797471711. The next prime is 3807797471743. The reversal of 3807797471712 is 2171747977083.

3807797471712 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 7 + 97 + 471 + 71 + 2 = 666.

3807797471712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3807797471712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807797471711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206498589 + ... + 206517027.

It is an arithmetic number, because the mean of its divisors is an integer number (42638996400).

Almost surely, 2^{3807797471712} is an apocalyptic number.

3807797471712 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 3807797471712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140015481600).

3807797471712 is an abundant number, since it is smaller than the sum of its proper divisors (8472233491488).

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

3807797471712 is a wasteful number, since it uses less digits than its factorization.

3807797471712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21390 (or 21379 counting only the distinct ones).

The product of its (nonzero) digits is 29042496, while the sum is 63.

The spelling of 3807797471712 in words is "three trillion, eight hundred seven billion, seven hundred ninety-seven million, four hundred seventy-one thousand, seven hundred twelve".