3681782064 has 120 divisors (see below), whose sum is σ = 10411095552. Its totient is φ = 1214576640.

The previous prime is 3681781979. The next prime is 3681782101. The reversal of 3681782064 is 4602871863.

3681782064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9612817 + ... + 9613199.

Almost surely, 2^3681782064 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 3681782064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205547776).

3681782064 is an abundant number, since it is smaller than the sum of its proper divisors (6729313488).

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

3681782064 is a wasteful number, since it uses less digits than its factorization.

3681782064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3681782064 is about 60677.6900021746. The cubic root of 3681782064 is about 1544.1376983514.

The spelling of 3681782064 in words is "three billion, six hundred eighty-one million, seven hundred eighty-two thousand, sixty-four".