3261736080 has 480 divisors, whose sum is σ = 12245644800. Its totient is φ = 797423616.

The previous prime is 3261736069. The next prime is 3261736129. The reversal of 3261736080 is 806371623.

It is a happy number.

3261736080 is a `hidden beast` number, since 3 + 2 + 617 + 36 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 36648676 + ... + 36648764.

It is an arithmetic number, because the mean of its divisors is an integer number (25511760).

Almost surely, 2^3261736080 is an apocalyptic number.

3261736080 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 3261736080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122822400).

3261736080 is an abundant number, since it is smaller than the sum of its proper divisors (8983908720).

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

3261736080 is a wasteful number, since it uses less digits than its factorization.

3261736080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3261736080 is about 57111.6107284675. The cubic root of 3261736080 is about 1483.0288713446.

The spelling of 3261736080 in words is "three billion, two hundred sixty-one million, seven hundred thirty-six thousand, eighty".