3407351681664 has 640 divisors, whose sum is σ = 11819812942080. Its totient is φ = 954320486400.

The previous prime is 3407351681651. The next prime is 3407351681681. The reversal of 3407351681664 is 4661861537043.

3407351681664 is a `hidden beast` number, since 3 + 40 + 7 + 3 + 516 + 81 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×3407351681664² (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 self number, because there is not a number n which added to its sum of digits gives 3407351681664.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 755005872 + ... + 755010384.

It is an arithmetic number, because the mean of its divisors is an integer number (18468457722).

Almost surely, 2^{3407351681664} 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 3407351681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909906471040).

3407351681664 is an abundant number, since it is smaller than the sum of its proper divisors (8412461260416).

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

3407351681664 is a wasteful number, since it uses less digits than its factorization.

3407351681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3407351681664 in words is "three trillion, four hundred seven billion, three hundred fifty-one million, six hundred eighty-one thousand, six hundred sixty-four".