3783947916672 has 768 divisors, whose sum is σ = 14065228800000. Its totient is φ = 980314030080.

The previous prime is 3783947916611. The next prime is 3783947916677. The reversal of 3783947916672 is 2766197493873.

3783947916672 is a `hidden beast` number, since 3 + 7 + 8 + 394 + 7 + 9 + 166 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3783947916672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783947916677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1314325729 + ... + 1314328607.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100000).

Almost surely, 2^{3783947916672} is an apocalyptic number.

3783947916672 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 3783947916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400000).

3783947916672 is an abundant number, since it is smaller than the sum of its proper divisors (10281280883328).

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

3783947916672 is a wasteful number, since it uses less digits than its factorization.

3783947916672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3351 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 3783947916672 in words is "three trillion, seven hundred eighty-three billion, nine hundred forty-seven million, nine hundred sixteen thousand, six hundred seventy-two".