3933728064 has 280 divisors, whose sum is σ = 13641962048. Its totient is φ = 1097349120.

The previous prime is 3933728047. The next prime is 3933728069. The reversal of 3933728064 is 4608273393.

3933728064 is a `hidden beast` number, since 39 + 337 + 280 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933728069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559124 + ... + 1561644.

Almost surely, 2^3933728064 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 3933728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820981024).

3933728064 is an abundant number, since it is smaller than the sum of its proper divisors (9708233984).

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

3933728064 is a wasteful number, since it uses less digits than its factorization.

3933728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3933728064 is about 62719.4392832079. The cubic root of 3933728064 is about 1578.5855075430.

The spelling of 3933728064 in words is "three billion, nine hundred thirty-three million, seven hundred twenty-eight thousand, sixty-four".