3260972800 has 216 divisors, whose sum is σ = 8494831296. Its totient is φ = 1237893120.

The previous prime is 3260972791. The next prime is 3260972833. The reversal of 3260972800 is 82790623.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3260972800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11129454 + ... + 11129746.

Almost surely, 2^3260972800 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 3260972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247415648).

3260972800 is an abundant number, since it is smaller than the sum of its proper divisors (5233858496).

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

3260972800 is a wasteful number, since it uses less digits than its factorization.

3260972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3260972800 is about 57104.9279834937. The cubic root of 3260972800 is about 1482.9131809517.

The spelling of 3260972800 in words is "three billion, two hundred sixty million, nine hundred seventy-two thousand, eight hundred".