3306440363044 has 243 divisors, whose sum is σ = 7436671267347. Its totient is φ = 1281988850688.

The previous prime is 3306440362993. The next prime is 3306440363053. The reversal of 3306440363044 is 4403630446033.

The square root of 3306440363044 is 1818362.

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

It can be written as a sum of positive squares in 4 ways, for example, as 604098908644 + 2702341454400 = 777238^2 + 1643880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3306440362988 and 3306440363006.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32101362697 + ... + 32101362799.

Almost surely, 2^{3306440363044} is an apocalyptic number.

3306440363044 is the 1818362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306440363044

3306440363044 is an abundant number, since it is smaller than the sum of its proper divisors (4130230904303).

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

3306440363044 is a wasteful number, since it uses less digits than its factorization.

3306440363044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

The spelling of 3306440363044 in words is "three trillion, three hundred six billion, four hundred forty million, three hundred sixty-three thousand, forty-four".