3291616432 has 80 divisors (see below), whose sum is σ = 7295158080. Its totient is φ = 1425309696.

The previous prime is 3291616421. The next prime is 3291616469. The reversal of 3291616432 is 2346161923.

It is a junction number, because it is equal to n+sod(n) for n = 3291616391 and 3291616400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1268128 + ... + 1270720.

It is an arithmetic number, because the mean of its divisors is an integer number (91189476).

Almost surely, 2^3291616432 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 3291616432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647579040).

3291616432 is an abundant number, since it is smaller than the sum of its proper divisors (4003541648).

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

3291616432 is a wasteful number, since it uses less digits than its factorization.

3291616432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2984 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 3291616432 is about 57372.6104687594. The cubic root of 3291616432 is about 1487.5437259655.

The spelling of 3291616432 in words is "three billion, two hundred ninety-one million, six hundred sixteen thousand, four hundred thirty-two".