3413166340320 has 384 divisors, whose sum is σ = 13349953128960. Its totient is φ = 807252480000.

The previous prime is 3413166340313. The next prime is 3413166340393. The reversal of 3413166340320 is 230436613143.

3413166340320 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 16 + 634 + 0 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1072395 + ... + 2824245.

It is an arithmetic number, because the mean of its divisors is an integer number (34765502940).

Almost surely, 2^{3413166340320} is an apocalyptic number.

3413166340320 is a gapful number since it is divisible by the number (30) 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 3413166340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674976564480).

3413166340320 is an abundant number, since it is smaller than the sum of its proper divisors (9936786788640).

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

3413166340320 is a wasteful number, since it uses less digits than its factorization.

3413166340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751927 (or 1751913 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 3413166340320 in words is "three trillion, four hundred thirteen billion, one hundred sixty-six million, three hundred forty thousand, three hundred twenty".