3785314176 has 288 divisors, whose sum is σ = 12872648880. Its totient is φ = 1045278720.

The previous prime is 3785314147. The next prime is 3785314201. The reversal of 3785314176 is 6714135873.

3785314176 is a `hidden beast` number, since 3 + 7 + 8 + 531 + 41 + 76 = 666.

3785314176 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-2 number, since 2×3785314176² = 28657206822053117952, which contains 22 as substring.

Its product of digits (423360) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35376715 + ... + 35376821.

Almost surely, 2^3785314176 is an apocalyptic number.

3785314176 is a gapful number since it is divisible by the number (36) 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 3785314176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436324440).

3785314176 is an abundant number, since it is smaller than the sum of its proper divisors (9087334704).

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

3785314176 is a wasteful number, since it uses less digits than its factorization.

3785314176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 160 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 3785314176 is about 61524.9069564514. The cubic root of 3785314176 is about 1558.4778841676.

The spelling of 3785314176 in words is "three billion, seven hundred eighty-five million, three hundred fourteen thousand, one hundred seventy-six".