3273772440960 has 384 divisors, whose sum is σ = 12973804646400. Its totient is φ = 745157726208.

The previous prime is 3273772440893. The next prime is 3273772441001. The reversal of 3273772440960 is 690442773723.

3273772440960 is a `hidden beast` number, since 3 + 2 + 73 + 7 + 72 + 440 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3273772440897 and 3273772440906.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9466617 + ... + 9806343.

It is an arithmetic number, because the mean of its divisors is an integer number (33785949600).

Almost surely, 2^{3273772440960} is an apocalyptic number.

3273772440960 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 3273772440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486902323200).

3273772440960 is an abundant number, since it is smaller than the sum of its proper divisors (9700032205440).

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

3273772440960 is a wasteful number, since it uses less digits than its factorization.

3273772440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339998 (or 339983 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 3273772440960 in words is "three trillion, two hundred seventy-three billion, seven hundred seventy-two million, four hundred forty thousand, nine hundred sixty".