3204848160 has 384 divisors, whose sum is σ = 11996812800. Its totient is φ = 799027200.

The previous prime is 3204848159. The next prime is 3204848233. The reversal of 3204848160 is 618484023.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21224085 + ... + 21224235.

It is an arithmetic number, because the mean of its divisors is an integer number (31241700).

Almost surely, 2^3204848160 is an apocalyptic number.

3204848160 is a gapful number since it is divisible by the number (30) 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 3204848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998406400).

3204848160 is an abundant number, since it is smaller than the sum of its proper divisors (8791964640).

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

3204848160 is a wasteful number, since it uses less digits than its factorization.

3204848160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3204848160 is about 56611.3783615979. The cubic root of 3204848160 is about 1474.3564228622.

It can be divided in two parts, 32048 and 48160, that added together give a palindrome (80208).

The spelling of 3204848160 in words is "three billion, two hundred four million, eight hundred forty-eight thousand, one hundred sixty".