3933488832 has 672 divisors, whose sum is σ = 14672340480. Its totient is φ = 902430720.

The previous prime is 3933488827. The next prime is 3933488869. The reversal of 3933488832 is 2388843393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95938732 + ... + 95938772.

It is an arithmetic number, because the mean of its divisors is an integer number (21833840).

Almost surely, 2^3933488832 is an apocalyptic number.

3933488832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3933488832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336170240).

3933488832 is an abundant number, since it is smaller than the sum of its proper divisors (10738851648).

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

3933488832 is a wasteful number, since it uses less digits than its factorization.

3933488832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The square root of 3933488832 is about 62717.5320943036. The cubic root of 3933488832 is about 1578.5535060236.

The spelling of 3933488832 in words is "three billion, nine hundred thirty-three million, four hundred eighty-eight thousand, eight hundred thirty-two".