3933065664 has 336 divisors, whose sum is σ = 13310494080. Its totient is φ = 1097349120.

The previous prime is 3933065663. The next prime is 3933065677. The reversal of 3933065664 is 4665603393.

3933065664 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933065663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4453767 + ... + 4454649.

Almost surely, 2^3933065664 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 3933065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655247040).

3933065664 is an abundant number, since it is smaller than the sum of its proper divisors (9377428416).

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

3933065664 is a wasteful number, since it uses less digits than its factorization.

3933065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The square root of 3933065664 is about 62714.1584014328. The cubic root of 3933065664 is about 1578.4968966272.

The spelling of 3933065664 in words is "three billion, nine hundred thirty-three million, sixty-five thousand, six hundred sixty-four".