3785848853472 has 288 divisors, whose sum is σ = 12844796590080. Its totient is φ = 1034172057600.

The previous prime is 3785848853467. The next prime is 3785848853473. The reversal of 3785848853472 is 2743588485873.

3785848853472 is a `hidden beast` number, since 3 + 7 + 8 + 5 + 8 + 4 + 88 + 534 + 7 + 2 = 666.

3785848853472 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 super-3 number, since 3×3785848853472³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3785848853472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785848853473) 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, 108993804 + ... + 109028532.

It is an arithmetic number, because the mean of its divisors is an integer number (44599988160).

Almost surely, 2^{3785848853472} is an apocalyptic number.

3785848853472 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 3785848853472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422398295040).

3785848853472 is an abundant number, since it is smaller than the sum of its proper divisors (9058947736608).

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

3785848853472 is a wasteful number, since it uses less digits than its factorization.

3785848853472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37126 (or 37115 counting only the distinct ones).

The product of its digits is 1445068800, while the sum is 72.

The spelling of 3785848853472 in words is "three trillion, seven hundred eighty-five billion, eight hundred forty-eight million, eight hundred fifty-three thousand, four hundred seventy-two".