3457166733104 has 80 divisors (see below), whose sum is σ = 7710808857600. Its totient is φ = 1470882205440.

The previous prime is 3457166733091. The next prime is 3457166733107. The reversal of 3457166733104 is 4013376617543.

It is not an unprimeable number, because it can be changed into a prime (3457166733107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30499157 + ... + 30612299.

It is an arithmetic number, because the mean of its divisors is an integer number (96385110720).

Almost surely, 2^{3457166733104} 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 3457166733104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855404428800).

3457166733104 is an abundant number, since it is smaller than the sum of its proper divisors (4253642124496).

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

3457166733104 is a wasteful number, since it uses less digits than its factorization.

3457166733104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115138 (or 115132 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 50.

The spelling of 3457166733104 in words is "three trillion, four hundred fifty-seven billion, one hundred sixty-six million, seven hundred thirty-three thousand, one hundred four".