3260584100928 has 448 divisors, whose sum is σ = 11329313587200. Its totient is φ = 819579801600.

The previous prime is 3260584100923. The next prime is 3260584100951. The reversal of 3260584100928 is 8290014850623.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3260584100928² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3260584100923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22384300 + ... + 22529492.

It is an arithmetic number, because the mean of its divisors is an integer number (25288646400).

Almost surely, 2^{3260584100928} 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 3260584100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664656793600).

3260584100928 is an abundant number, since it is smaller than the sum of its proper divisors (8068729486272).

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

3260584100928 is a wasteful number, since it uses less digits than its factorization.

3260584100928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145271 (or 145247 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 3260584100928 in words is "three trillion, two hundred sixty billion, five hundred eighty-four million, one hundred thousand, nine hundred twenty-eight".