3226593097984 has 81 divisors (see below), whose sum is σ = 6497704278961. Its totient is φ = 1599113185280.

The previous prime is 3226593097967. The next prime is 3226593098039. The reversal of 3226593097984 is 4897903956223.

The square root of 3226593097984 is 1796272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2990132640000 + 236460457984 = 1729200^2 + 486272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3764985684 + ... + 3764986540.

Almost surely, 2^{3226593097984} is an apocalyptic number.

3226593097984 is the 1796272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3226593097984

3226593097984 is an abundant number, since it is smaller than the sum of its proper divisors (3271111180977).

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

3226593097984 is an frugal number, since it uses more digits than its factorization.

3226593097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 67.

The spelling of 3226593097984 in words is "three trillion, two hundred twenty-six billion, five hundred ninety-three million, ninety-seven thousand, nine hundred eighty-four".