3785667044896 has 96 divisors (see below), whose sum is σ = 8164874088000. Its totient is φ = 1713515212800.

The previous prime is 3785667044893. The next prime is 3785667044909. The reversal of 3785667044896 is 6984407665873.

3785667044896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3785667044896² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3785667044891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80247556 + ... + 80294716.

It is an arithmetic number, because the mean of its divisors is an integer number (85050771750).

Almost surely, 2^{3785667044896} 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 3785667044896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082437044000).

3785667044896 is an abundant number, since it is smaller than the sum of its proper divisors (4379207043104).

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

3785667044896 is a wasteful number, since it uses less digits than its factorization.

3785667044896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48138 (or 48130 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 73.

The spelling of 3785667044896 in words is "three trillion, seven hundred eighty-five billion, six hundred sixty-seven million, forty-four thousand, eight hundred ninety-six".