3204586880 has 128 divisors (see below), whose sum is σ = 8407411200. Its totient is φ = 1158338560.

The previous prime is 3204586877. The next prime is 3204586907. The reversal of 3204586880 is 886854023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3204586880³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 1258889 + ... + 1261431.

It is an arithmetic number, because the mean of its divisors is an integer number (65682900).

Almost surely, 2^3204586880 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 3204586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203705600).

3204586880 is an abundant number, since it is smaller than the sum of its proper divisors (5202824320).

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

3204586880 is a wasteful number, since it uses less digits than its factorization.

3204586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 3204586880 is about 56609.0706512658. The cubic root of 3204586880 is about 1474.3163554086.

The spelling of 3204586880 in words is "three billion, two hundred four million, five hundred eighty-six thousand, eight hundred eighty".