3283519752 has 96 divisors (see below), whose sum is σ = 9217877760. Its totient is φ = 1054800000.

The previous prime is 3283519741. The next prime is 3283519777. The reversal of 3283519752 is 2579153823.

3283519752 is a `hidden beast` number, since 3 + 2 + 83 + 519 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3283519698 and 3283519707.

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 23 ways as a sum of consecutive naturals, for example, 557302 + ... + 563162.

It is an arithmetic number, because the mean of its divisors is an integer number (96019560).

Almost surely, 2^3283519752 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 3283519752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608938880).

3283519752 is an abundant number, since it is smaller than the sum of its proper divisors (5934358008).

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

3283519752 is a wasteful number, since it uses less digits than its factorization.

3283519752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6148 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 3283519752 is about 57302.0047816828. The cubic root of 3283519752 is about 1486.3230435979.

The spelling of 3283519752 in words is "three billion, two hundred eighty-three million, five hundred nineteen thousand, seven hundred fifty-two".