3348451104768 has 2304 divisors, whose sum is σ = 13597077312000. Its totient is φ = 812665405440.

The previous prime is 3348451104709. The next prime is 3348451104797. The reversal of 3348451104768 is 8674011548433.

3348451104768 is a `hidden beast` number, since 3 + 3 + 4 + 84 + 511 + 0 + 47 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×3348451104768² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45869193180 + ... + 45869193252.

It is an arithmetic number, because the mean of its divisors is an integer number (5901509250).

Almost surely, 2^{3348451104768} is an apocalyptic number.

3348451104768 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 3348451104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798538656000).

3348451104768 is an abundant number, since it is smaller than the sum of its proper divisors (10248626207232).

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

3348451104768 is an equidigital number, since it uses as much as digits as its factorization.

3348451104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3348451104768 in words is "three trillion, three hundred forty-eight billion, four hundred fifty-one million, one hundred four thousand, seven hundred sixty-eight".