3223059840 has 1152 divisors, whose sum is σ = 15374810880. Its totient is φ = 603832320.

The previous prime is 3223059823. The next prime is 3223059841. The reversal of 3223059840 is 489503223.

3223059840 is a `hidden beast` number, since 3 + 2 + 23 + 0 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3223059840² = 20776229464441651200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3223059795 and 3223059804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223059841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74954859 + ... + 74954901.

It is an arithmetic number, because the mean of its divisors is an integer number (13346190).

Almost surely, 2^3223059840 is an apocalyptic number.

3223059840 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 3223059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687405440).

3223059840 is an abundant number, since it is smaller than the sum of its proper divisors (12151751040).

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

3223059840 is a wasteful number, since it uses less digits than its factorization.

3223059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3223059840 is about 56771.9987317692. The cubic root of 3223059840 is about 1477.1438464049.

The spelling of 3223059840 in words is "three billion, two hundred twenty-three million, fifty-nine thousand, eight hundred forty".