3785804568 has 640 divisors, whose sum is σ = 14310912000. Its totient is φ = 906992640.

The previous prime is 3785804471. The next prime is 3785804597. The reversal of 3785804568 is 8654085873.

3785804568 is a `hidden beast` number, since 3 + 7 + 8 + 580 + 4 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34732098 + ... + 34732206.

It is an arithmetic number, because the mean of its divisors is an integer number (22360800).

Almost surely, 2^3785804568 is an apocalyptic number.

3785804568 is a gapful number since it is divisible by the number (38) 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 3785804568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155456000).

3785804568 is an abundant number, since it is smaller than the sum of its proper divisors (10525107432).

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

3785804568 is a wasteful number, since it uses less digits than its factorization.

3785804568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 3785804568 is about 61528.8921401970. The cubic root of 3785804568 is about 1558.5451821558.

The spelling of 3785804568 in words is "three billion, seven hundred eighty-five million, eight hundred four thousand, five hundred sixty-eight".