3222418752 has 504 divisors, whose sum is σ = 11563868160. Its totient is φ = 853493760.

The previous prime is 3222418729. The next prime is 3222418789. The reversal of 3222418752 is 2578142223.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3222418752² = 20767965226482475008, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25373313 + ... + 25373439.

Almost surely, 2^3222418752 is an apocalyptic number.

3222418752 is a gapful number since it is divisible by the number (32) 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 3222418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781934080).

3222418752 is an abundant number, since it is smaller than the sum of its proper divisors (8341449408).

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

3222418752 is a wasteful number, since it uses less digits than its factorization.

3222418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 3222418752 is about 56766.3522872485. The cubic root of 3222418752 is about 1477.0459020048.

The spelling of 3222418752 in words is "three billion, two hundred twenty-two million, four hundred eighteen thousand, seven hundred fifty-two".