3213173729220 has 384 divisors, whose sum is σ = 11287745495040. Its totient is φ = 664916428800.

The previous prime is 3213173729203. The next prime is 3213173729261. The reversal of 3213173729220 is 229273713123.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65107674 + ... + 65157006.

It is an arithmetic number, because the mean of its divisors is an integer number (29395170560).

Almost surely, 2^{3213173729220} is an apocalyptic number.

3213173729220 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 3213173729220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643872747520).

3213173729220 is an abundant number, since it is smaller than the sum of its proper divisors (8074571765820).

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

3213173729220 is a wasteful number, since it uses less digits than its factorization.

3213173729220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49595 (or 49593 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 3213173729220 in words is "three trillion, two hundred thirteen billion, one hundred seventy-three million, seven hundred twenty-nine thousand, two hundred twenty".