3932447616 has 448 divisors, whose sum is σ = 12963592080. Its totient is φ = 1182449664.

The previous prime is 3932447581. The next prime is 3932447627. The reversal of 3932447616 is 6167442393.

3932447616 is a `hidden beast` number, since 3 + 9 + 3 + 24 + 4 + 7 + 616 = 666.

Its product of digits (653184) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 58693215 + ... + 58693281.

Almost surely, 2^3932447616 is an apocalyptic number.

3932447616 is a gapful number since it is divisible by the number (36) 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 3932447616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481796040).

3932447616 is an abundant number, since it is smaller than the sum of its proper divisors (9031144464).

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

3932447616 is an equidigital number, since it uses as much as digits as its factorization.

3932447616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

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

The square root of 3932447616 is about 62709.2307080863. The cubic root of 3932447616 is about 1578.4142098175.

The spelling of 3932447616 in words is "three billion, nine hundred thirty-two million, four hundred forty-seven thousand, six hundred sixteen".