3785784816 has 160 divisors (see below), whose sum is σ = 11081790720. Its totient is φ = 1103155200.

The previous prime is 3785784799. The next prime is 3785784853. The reversal of 3785784816 is 6184875873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6629811 + ... + 6630381.

It is an arithmetic number, because the mean of its divisors is an integer number (69261192).

Almost surely, 2^3785784816 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 3785784816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540895360).

3785784816 is an abundant number, since it is smaller than the sum of its proper divisors (7296005904).

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

3785784816 is a wasteful number, since it uses less digits than its factorization.

3785784816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1049 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The square root of 3785784816 is about 61528.7316300279. The cubic root of 3785784816 is about 1558.5424716409.

The spelling of 3785784816 in words is "three billion, seven hundred eighty-five million, seven hundred eighty-four thousand, eight hundred sixteen".