3273135022080 has 4032 divisors, whose sum is σ = 16513120339200. Its totient is φ = 606433443840.

The previous prime is 3273135021983. The next prime is 3273135022081. The reversal of 3273135022080 is 802205313723.

3273135022080 is a `hidden beast` number, since 3 + 2 + 7 + 3 + 1 + 350 + 220 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3273135022081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172270264311 + ... + 172270264329.

Almost surely, 2^{3273135022080} is an apocalyptic number.

3273135022080 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 3273135022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256560169600).

3273135022080 is an abundant number, since it is smaller than the sum of its proper divisors (13239985317120).

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

3273135022080 is a wasteful number, since it uses less digits than its factorization.

3273135022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3273135022080 in words is "three trillion, two hundred seventy-three billion, one hundred thirty-five million, twenty-two thousand, eighty".