3608208032 has 192 divisors, whose sum is σ = 8696999808. Its totient is φ = 1451520000.

The previous prime is 3608208013. The next prime is 3608208077. The reversal of 3608208032 is 2308028063.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3608208032.

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 31 ways as a sum of consecutive naturals, for example, 17100407 + ... + 17100617.

It is an arithmetic number, because the mean of its divisors is an integer number (45296874).

Almost surely, 2^3608208032 is an apocalyptic number.

3608208032 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 3608208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348499904).

3608208032 is an abundant number, since it is smaller than the sum of its proper divisors (5088791776).

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

3608208032 is a wasteful number, since it uses less digits than its factorization.

3608208032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3608208032 is about 60068.3613227463. The cubic root of 3608208032 is about 1533.7827755375.

The spelling of 3608208032 in words is "three billion, six hundred eight million, two hundred eight thousand, thirty-two".