3266945498880 has 1944 divisors, whose sum is σ = 14487871861008. Its totient is φ = 701300146176.

The previous prime is 3266945498867. The next prime is 3266945498899. The reversal of 3266945498880 is 888945496623.

It is a happy number.

3266945498880 is a `hidden beast` number, since 3 + 2 + 6 + 6 + 9 + 454 + 98 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3266945498799 and 3266945498808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6995600407 + ... + 6995600873.

It is an arithmetic number, because the mean of its divisors is an integer number (7452608982).

Almost surely, 2^{3266945498880} is an apocalyptic number.

3266945498880 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 3266945498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7243935930504).

3266945498880 is an abundant number, since it is smaller than the sum of its proper divisors (11220926362128).

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

3266945498880 is an frugal number, since it uses more digits than its factorization.

3266945498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 3266945498880 in words is "three trillion, two hundred sixty-six billion, nine hundred forty-five million, four hundred ninety-eight thousand, eight hundred eighty".