3260997220320 has 1728 divisors, whose sum is σ = 14218258489344. Its totient is φ = 676392837120.

The previous prime is 3260997220277. The next prime is 3260997220367. The reversal of 3260997220320 is 230227990623.

3260997220320 is a `hidden beast` number, since 3 + 2 + 609 + 9 + 7 + 2 + 2 + 0 + 32 + 0 = 666.

It is a super-3 number, since 3×3260997220320³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2666391229 + ... + 2666392451.

It is an arithmetic number, because the mean of its divisors is an integer number (8228158848).

Almost surely, 2^{3260997220320} is an apocalyptic number.

3260997220320 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 3260997220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109129244672).

3260997220320 is an abundant number, since it is smaller than the sum of its proper divisors (10957261269024).

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

3260997220320 is a wasteful number, since it uses less digits than its factorization.

3260997220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3260997220320 in words is "three trillion, two hundred sixty billion, nine hundred ninety-seven million, two hundred twenty thousand, three hundred twenty".