3275834688 has 336 divisors, whose sum is σ = 11497299840. Its totient is φ = 870912000.

The previous prime is 3275834671. The next prime is 3275834711. The reversal of 3275834688 is 8864385723.

3275834688 is a `hidden beast` number, since 32 + 75 + 83 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 4672738 + ... + 4673438.

Almost surely, 2^3275834688 is an apocalyptic number.

3275834688 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 3275834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748649920).

3275834688 is an abundant number, since it is smaller than the sum of its proper divisors (8221465152).

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

3275834688 is a wasteful number, since it uses less digits than its factorization.

3275834688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3275834688 is about 57234.9079496071. The cubic root of 3275834688 is about 1485.1625601724.

The spelling of 3275834688 in words is "three billion, two hundred seventy-five million, eight hundred thirty-four thousand, six hundred eighty-eight".