3408318252352 has 224 divisors, whose sum is σ = 7523173879200. Its totient is φ = 1522029035520.

The previous prime is 3408318252349. The next prime is 3408318252397. The reversal of 3408318252352 is 2532528138043.

It can be written as a sum of positive squares in 16 ways, for example, as 1735289828416 + 1673028423936 = 1317304^2 + 1293456^2 .

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, 2956043008 + ... + 2956044160.

It is an arithmetic number, because the mean of its divisors is an integer number (33585597675).

Almost surely, 2^{3408318252352} is an apocalyptic number.

3408318252352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408318252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761586939600).

3408318252352 is an abundant number, since it is smaller than the sum of its proper divisors (4114855626848).

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

3408318252352 is a wasteful number, since it uses less digits than its factorization.

3408318252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 3408318252352 in words is "three trillion, four hundred eight billion, three hundred eighteen million, two hundred fifty-two thousand, three hundred fifty-two".