3832900608 has 66 divisors (see below), whose sum is σ = 10225231716. Its totient is φ = 1276489728.

The previous prime is 3832900579. The next prime is 3832900627. The reversal of 3832900608 is 8060092383.

It is a super-2 number, since 2×3832900608² = 29382254141613539328, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 3430866 + ... + 3431982.

Almost surely, 2^3832900608 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 3832900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112615858).

3832900608 is an abundant number, since it is smaller than the sum of its proper divisors (6392331108).

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

3832900608 is an frugal number, since it uses more digits than its factorization.

3832900608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3832900608 is about 61910.4240657419. The cubic root of 3832900608 is about 1564.9814201607.

Multiplying 3832900608 by its product of nonzero digits (62208), we get a square (238437081022464 = 15441408²).

The spelling of 3832900608 in words is "three billion, eight hundred thirty-two million, nine hundred thousand, six hundred eight".