3261798540 has 576 divisors, whose sum is σ = 13625644032. Its totient is φ = 609638400.

The previous prime is 3261798499. The next prime is 3261798601. The reversal of 3261798540 is 458971623.

3261798540 is a `hidden beast` number, since 3 + 2 + 6 + 17 + 98 + 540 = 666.

3261798540 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3261798540² = 21278659431092263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

3261798540 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7747530 + ... + 7747950.

It is an arithmetic number, because the mean of its divisors is an integer number (23655632).

It is a 1-persistent number, because it is pandigital, but 2⋅3261798540 = 6523597080 is not.

Almost surely, 2^3261798540 is an apocalyptic number.

3261798540 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 3261798540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812822016).

3261798540 is an abundant number, since it is smaller than the sum of its proper divisors (10363845492).

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

3261798540 is a wasteful number, since it uses less digits than its factorization.

3261798540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3261798540 is about 57112.1575498597. The cubic root of 3261798540 is about 1483.0383376114.

The spelling of 3261798540 in words is "three billion, two hundred sixty-one million, seven hundred ninety-eight thousand, five hundred forty".