3933676128 has 96 divisors (see below), whose sum is σ = 10507795200. Its totient is φ = 1288235520.

The previous prime is 3933676093. The next prime is 3933676129. The reversal of 3933676128 is 8216763393.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933676129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3852258 + ... + 3853278.

It is an arithmetic number, because the mean of its divisors is an integer number (109456200).

Almost surely, 2^3933676128 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 3933676128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253897600).

3933676128 is an abundant number, since it is smaller than the sum of its proper divisors (6574119072).

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

3933676128 is a wasteful number, since it uses less digits than its factorization.

3933676128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 3933676128 is about 62719.0252475276. The cubic root of 3933676128 is about 1578.5785602929.

The spelling of 3933676128 in words is "three billion, nine hundred thirty-three million, six hundred seventy-six thousand, one hundred twenty-eight".