3284014752 has 144 divisors (see below), whose sum is σ = 10019449440. Its totient is φ = 1056851712.

The previous prime is 3284014751. The next prime is 3284014793. The reversal of 3284014752 is 2574104823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3284014751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218223 + ... + 232785.

It is an arithmetic number, because the mean of its divisors is an integer number (69579510).

Almost surely, 2^3284014752 is an apocalyptic number.

3284014752 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 3284014752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009724720).

3284014752 is an abundant number, since it is smaller than the sum of its proper divisors (6735434688).

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

3284014752 is a wasteful number, since it uses less digits than its factorization.

3284014752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14617 (or 14597 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3284014752 is about 57306.3238395205. The cubic root of 3284014752 is about 1486.3977289959.

The spelling of 3284014752 in words is "three billion, two hundred eighty-four million, fourteen thousand, seven hundred fifty-two".