3908828352 has 448 divisors, whose sum is σ = 13108838400. Its totient is φ = 1010257920.

The previous prime is 3908828321. The next prime is 3908828359. The reversal of 3908828352 is 2538288093.

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

It is not an unprimeable number, because it can be changed into a prime (3908828359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30778113 + ... + 30778239.

It is an arithmetic number, because the mean of its divisors is an integer number (29260800).

Almost surely, 2^3908828352 is an apocalyptic number.

3908828352 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 3908828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554419200).

3908828352 is an abundant number, since it is smaller than the sum of its proper divisors (9200010048).

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

3908828352 is a wasteful number, since it uses less digits than its factorization.

3908828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 3908828352 is about 62520.6234133986. The cubic root of 3908828352 is about 1575.2477449535.

The spelling of 3908828352 in words is "three billion, nine hundred eight million, eight hundred twenty-eight thousand, three hundred fifty-two".