3390284164848 has 480 divisors, whose sum is σ = 10743303456000. Its totient is φ = 917239357440.

The previous prime is 3390284164847. The next prime is 3390284164853. The reversal of 3390284164848 is 8484614820933.

It is a super-2 number, since 2×3390284164848² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3390284164791 and 3390284164800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390284164847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2491023688 + ... + 2491025048.

It is an arithmetic number, because the mean of its divisors is an integer number (22381882200).

Almost surely, 2^{3390284164848} 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 3390284164848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371651728000).

3390284164848 is an abundant number, since it is smaller than the sum of its proper divisors (7353019291152).

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

3390284164848 is a wasteful number, since it uses less digits than its factorization.

3390284164848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 3390284164848 in words is "three trillion, three hundred ninety billion, two hundred eighty-four million, one hundred sixty-four thousand, eight hundred forty-eight".