3204138880 has 128 divisors (see below), whose sum is σ = 7833600000. Its totient is φ = 1252952064.

The previous prime is 3204138859. The next prime is 3204138881. The reversal of 3204138880 is 888314023.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3204138881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6420871 + ... + 6421369.

It is an arithmetic number, because the mean of its divisors is an integer number (61200000).

Almost surely, 2^3204138880 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 3204138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800000).

3204138880 is an abundant number, since it is smaller than the sum of its proper divisors (4629461120).

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

3204138880 is a wasteful number, since it uses less digits than its factorization.

3204138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 3204138880 is about 56605.1135499259. The cubic root of 3204138880 is about 1474.2476492557.

The spelling of 3204138880 in words is "three billion, two hundred four million, one hundred thirty-eight thousand, eight hundred eighty".