3205684224 has 132 divisors (see below), whose sum is σ = 9432428616. Its totient is φ = 1048240128.

The previous prime is 3205684213. The next prime is 3205684241. The reversal of 3205684224 is 4224865023.

3205684224 is a `hidden beast` number, since 32 + 0 + 568 + 42 + 24 = 666.

It is a super-3 number, since 3×3205684224³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485167 + ... + 491729.

Almost surely, 2^3205684224 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 3205684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716214308).

3205684224 is an abundant number, since it is smaller than the sum of its proper divisors (6226744392).

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

3205684224 is a wasteful number, since it uses less digits than its factorization.

3205684224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3205684224 is about 56618.7621199899. The cubic root of 3205684224 is about 1474.4846191753.

The spelling of 3205684224 in words is "three billion, two hundred five million, six hundred eighty-four thousand, two hundred twenty-four".