3218890752 has 588 divisors, whose sum is σ = 12248127396. Its totient is φ = 836075520.

The previous prime is 3218890747. The next prime is 3218890769. The reversal of 3218890752 is 2570988123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-2 number, since 2×3218890752² = 20722515346622251008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3218890698 and 3218890707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 292626427 + ... + 292626437.

Almost surely, 2^3218890752 is an apocalyptic number.

3218890752 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 3218890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124063698).

3218890752 is an abundant number, since it is smaller than the sum of its proper divisors (9029236644).

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

3218890752 is an frugal number, since it uses more digits than its factorization.

3218890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3218890752 is about 56735.2690308242. The cubic root of 3218890752 is about 1476.5066672222.

The spelling of 3218890752 in words is "three billion, two hundred eighteen million, eight hundred ninety thousand, seven hundred fifty-two".