3220746467724 has 192 divisors, whose sum is σ = 8883563673600. Its totient is φ = 1005604402176.

The previous prime is 3220746467713. The next prime is 3220746467773. The reversal of 3220746467724 is 4277646470223.

3220746467724 is a `hidden beast` number, since 32 + 20 + 7 + 464 + 67 + 72 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 554628829 + ... + 554634635.

It is an arithmetic number, because the mean of its divisors is an integer number (46268560800).

Almost surely, 2^{3220746467724} is an apocalyptic number.

3220746467724 is a gapful number since it is divisible by the number (34) 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 3220746467724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441781836800).

3220746467724 is an abundant number, since it is smaller than the sum of its proper divisors (5662817205876).

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

3220746467724 is a wasteful number, since it uses less digits than its factorization.

3220746467724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 3220746467724 in words is "three trillion, two hundred twenty billion, seven hundred forty-six million, four hundred sixty-seven thousand, seven hundred twenty-four".