3284715672 has 128 divisors (see below), whose sum is σ = 10503360000. Its totient is φ = 931678848.

The previous prime is 3284715659. The next prime is 3284715727. The reversal of 3284715672 is 2765174823.

3284715672 is a `hidden beast` number, since 3 + 2 + 84 + 7 + 1 + 567 + 2 = 666.

It is a super-3 number, since 3×3284715672³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 202354 + ... + 217982.

It is an arithmetic number, because the mean of its divisors is an integer number (82057500).

Almost surely, 2^3284715672 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 3284715672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251680000).

3284715672 is an abundant number, since it is smaller than the sum of its proper divisors (7218644328).

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

3284715672 is a wasteful number, since it uses less digits than its factorization.

3284715672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15790 (or 15780 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3284715672 is about 57312.4390686699. The cubic root of 3284715672 is about 1486.5034706832.

The spelling of 3284715672 in words is "three billion, two hundred eighty-four million, seven hundred fifteen thousand, six hundred seventy-two".