3785846064 has 720 divisors, whose sum is σ = 14486572800. Its totient is φ = 830269440.

The previous prime is 3785846041. The next prime is 3785846101. The reversal of 3785846064 is 4606485873.

3785846064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3785845998 and 3785846016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130546402 + ... + 130546430.

It is an arithmetic number, because the mean of its divisors is an integer number (20120240).

Almost surely, 2^3785846064 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 3785846064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7243286400).

3785846064 is an abundant number, since it is smaller than the sum of its proper divisors (10700726736).

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

3785846064 is a wasteful number, since it uses less digits than its factorization.

3785846064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The square root of 3785846064 is about 61529.2293467097. The cubic root of 3785846064 is about 1558.5508765115.

The spelling of 3785846064 in words is "three billion, seven hundred eighty-five million, eight hundred forty-six thousand, sixty-four".