3385613758464 has 780 divisors, whose sum is σ = 11811051766800. Its totient is φ = 933254332416.

The previous prime is 3385613758451. The next prime is 3385613758543. The reversal of 3385613758464 is 4648573165833.

3385613758464 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 613 + 7 + 5 + 8 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×3385613758464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2566802797 + ... + 2566804115.

It is an arithmetic number, because the mean of its divisors is an integer number (15142374060).

Almost surely, 2^{3385613758464} 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 3385613758464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905525883400).

3385613758464 is an abundant number, since it is smaller than the sum of its proper divisors (8425438008336).

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

3385613758464 is an equidigital number, since it uses as much as digits as its factorization.

3385613758464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1360 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 3385613758464 in words is "three trillion, three hundred eighty-five billion, six hundred thirteen million, seven hundred fifty-eight thousand, four hundred sixty-four".