3405858513408 has 560 divisors, whose sum is σ = 11566387620480. Its totient is φ = 992773988352.

The previous prime is 3405858513403. The next prime is 3405858513419. The reversal of 3405858513408 is 8043158585043.

3405858513408 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 8 + 585 + 13 + 40 + 8 = 666.

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 (3405858513403) 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 55 ways as a sum of consecutive naturals, for example, 92173785 + ... + 92210727.

It is an arithmetic number, because the mean of its divisors is an integer number (20654263608).

Almost surely, 2^{3405858513408} is an apocalyptic number.

3405858513408 is a gapful number since it is divisible by the number (38) 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 3405858513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783193810240).

3405858513408 is an abundant number, since it is smaller than the sum of its proper divisors (8160529107072).

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

3405858513408 is an equidigital number, since it uses as much as digits as its factorization.

3405858513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37011 (or 36980 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 3405858513408 in words is "three trillion, four hundred five billion, eight hundred fifty-eight million, five hundred thirteen thousand, four hundred eight".