3403913608368 has 320 divisors, whose sum is σ = 12049982085120. Its totient is φ = 895887019008.

The previous prime is 3403913608363. The next prime is 3403913608373. The reversal of 3403913608368 is 8638063193043.

3403913608368 is a `hidden beast` number, since 340 + 39 + 136 + 0 + 83 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3403913608363) and next prime (3403913608373).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3403913608363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19056046 + ... + 19233842.

It is an arithmetic number, because the mean of its divisors is an integer number (37656194016).

Almost surely, 2^{3403913608368} 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 3403913608368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024991042560).

3403913608368 is an abundant number, since it is smaller than the sum of its proper divisors (8646068476752).

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

3403913608368 is a wasteful number, since it uses less digits than its factorization.

3403913608368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178321 (or 178309 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3403913608368 in words is "three trillion, four hundred three billion, nine hundred thirteen million, six hundred eight thousand, three hundred sixty-eight".