3201689088 has 480 divisors, whose sum is σ = 10947736800. Its totient is φ = 891813888.

The previous prime is 3201689077. The next prime is 3201689111. The reversal of 3201689088 is 8809861023.

3201689088 is a `hidden beast` number, since 320 + 168 + 90 + 88 = 666.

3201689088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33007056 + ... + 33007152.

It is an arithmetic number, because the mean of its divisors is an integer number (22807785).

Almost surely, 2^3201689088 is an apocalyptic number.

3201689088 is a gapful number since it is divisible by the number (38) 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 3201689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473868400).

3201689088 is an abundant number, since it is smaller than the sum of its proper divisors (7746047712).

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

3201689088 is a wasteful number, since it uses less digits than its factorization.

3201689088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3201689088 is about 56583.4700950728. The cubic root of 3201689088 is about 1473.8718310754.

It can be divided in two parts, 32016 and 89088, that added together give a square (121104 = 348²).

The spelling of 3201689088 in words is "three billion, two hundred one million, six hundred eighty-nine thousand, eighty-eight".