3260736000 has 800 divisors, whose sum is σ = 13208141232. Its totient is φ = 796262400.

The previous prime is 3260735999. The next prime is 3260736019. The reversal of 3260736000 is 6370623.

It can be written as a sum of positive squares in 8 ways, for example, as 905769216 + 2354966784 = 30096^2 + 48528^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88127982 + ... + 88128018.

Almost surely, 2^3260736000 is an apocalyptic number.

3260736000 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 3260736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604070616).

3260736000 is an abundant number, since it is smaller than the sum of its proper divisors (9947405232).

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

3260736000 is an equidigital number, since it uses as much as digits as its factorization.

3260736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3260736000 is about 57102.8545696273. The cubic root of 3260736000 is about 1482.8772854932.

The spelling of 3260736000 in words is "three billion, two hundred sixty million, seven hundred thirty-six thousand".