3220593024 has 128 divisors (see below), whose sum is σ = 9823824000. Its totient is φ = 924549120.

The previous prime is 3220593001. The next prime is 3220593083. The reversal of 3220593024 is 4203950223.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3220592982 and 3220593000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60192 + ... + 100320.

It is an arithmetic number, because the mean of its divisors is an integer number (76748625).

Almost surely, 2^3220593024 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 3220593024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911912000).

3220593024 is an abundant number, since it is smaller than the sum of its proper divisors (6603230976).

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

3220593024 is a wasteful number, since it uses less digits than its factorization.

3220593024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40176 (or 40164 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3220593024 is about 56750.2689332835. The cubic root of 3220593024 is about 1476.7668990036.

The spelling of 3220593024 in words is "three billion, two hundred twenty million, five hundred ninety-three thousand, twenty-four".