3260620800 has 504 divisors, whose sum is σ = 12280369140. Its totient is φ = 825753600.

The previous prime is 3260620729. The next prime is 3260620807. The reversal of 3260620800 is 80260623.

3260620800 is a `hidden beast` number, since 32 + 6 + 0 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 391090176 + 2869530624 = 19776^2 + 53568^2 .

It is not an unprimeable number, because it can be changed into a prime (3260620807) 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, 53452770 + ... + 53452830.

Almost surely, 2^3260620800 is an apocalyptic number.

3260620800 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 3260620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140184570).

3260620800 is an abundant number, since it is smaller than the sum of its proper divisors (9019748340).

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

3260620800 is a wasteful number, since it uses less digits than its factorization.

3260620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3260620800 is about 57101.8458545781. The cubic root of 3260620800 is about 1482.8598222093.

The spelling of 3260620800 in words is "three billion, two hundred sixty million, six hundred twenty thousand, eight hundred".