3454712201664 has 336 divisors, whose sum is σ = 10317806684640. Its totient is φ = 1104452444160.

The previous prime is 3454712201599. The next prime is 3454712201669. The reversal of 3454712201664 is 4661022174543.

3454712201664 is a `hidden beast` number, since 3 + 4 + 547 + 12 + 20 + 16 + 64 = 666.

It is a super-2 number, since 2×3454712201664² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454712201669) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 326003214 + ... + 326013810.

It is an arithmetic number, because the mean of its divisors is an integer number (30707757990).

Almost surely, 2^{3454712201664} 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 3454712201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158903342320).

3454712201664 is an abundant number, since it is smaller than the sum of its proper divisors (6863094482976).

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

3454712201664 is a wasteful number, since it uses less digits than its factorization.

3454712201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10895 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3454712201664 in words is "three trillion, four hundred fifty-four billion, seven hundred twelve million, two hundred one thousand, six hundred sixty-four".