3318438743664 has 160 divisors (see below), whose sum is σ = 9432138566400. Its totient is φ = 1005279770880.

The previous prime is 3318438743647. The next prime is 3318438743687. The reversal of 3318438743664 is 4663478348133.

It is a super-2 number, since 2×3318438743664² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3318438743598 and 3318438743607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293687487 + ... + 293698785.

It is an arithmetic number, because the mean of its divisors is an integer number (58950866040).

Almost surely, 2^{3318438743664} 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 3318438743664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716069283200).

3318438743664 is an abundant number, since it is smaller than the sum of its proper divisors (6113699822736).

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

3318438743664 is a wasteful number, since it uses less digits than its factorization.

3318438743664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15940 (or 15912 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 60.

The spelling of 3318438743664 in words is "three trillion, three hundred eighteen billion, four hundred thirty-eight million, seven hundred forty-three thousand, six hundred sixty-four".