3260404800 has 252 divisors, whose sum is σ = 11646543636. Its totient is φ = 865075200.

The previous prime is 3260404787. The next prime is 3260404801. The reversal of 3260404800 is 84040623.

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 3259953216 = 672^2 + 57096^2 .

It is not an unprimeable number, because it can be changed into a prime (3260404801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3700360 + ... + 3701240.

It is an arithmetic number, because the mean of its divisors is an integer number (46216443).

Almost surely, 2^3260404800 is an apocalyptic number.

3260404800 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 3260404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823271818).

3260404800 is an abundant number, since it is smaller than the sum of its proper divisors (8386138836).

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

3260404800 is a wasteful number, since it uses less digits than its factorization.

3260404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3260404800 is about 57099.9544658312. The cubic root of 3260404800 is about 1482.8270774434.

The spelling of 3260404800 in words is "three billion, two hundred sixty million, four hundred four thousand, eight hundred".