3223858640 has 80 divisors (see below), whose sum is σ = 7810214400. Its totient is φ = 1236180480.

The previous prime is 3223858637. The next prime is 3223858657. The reversal of 3223858640 is 468583223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3223858640³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259286 + ... + 271434.

It is an arithmetic number, because the mean of its divisors is an integer number (97627680).

Almost surely, 2^3223858640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223858640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905107200).

3223858640 is an abundant number, since it is smaller than the sum of its proper divisors (4586355760).

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

3223858640 is a wasteful number, since it uses less digits than its factorization.

3223858640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12300 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 3223858640 is about 56779.0334542602. The cubic root of 3223858640 is about 1477.2658676206.

The spelling of 3223858640 in words is "three billion, two hundred twenty-three million, eight hundred fifty-eight thousand, six hundred forty".