3467555742864 has 160 divisors (see below), whose sum is σ = 9398241688320. Its totient is φ = 1099585529856.

The previous prime is 3467555742817. The next prime is 3467555742883. The reversal of 3467555742864 is 4682475557643.

It is a junction number, because it is equal to n+sod(n) for n = 3467555742795 and 3467555742804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252050674 + ... + 252064430.

It is an arithmetic number, because the mean of its divisors is an integer number (58739010552).

Almost surely, 2^{3467555742864} 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 3467555742864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699120844160).

3467555742864 is an abundant number, since it is smaller than the sum of its proper divisors (5930685945456).

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

3467555742864 is a wasteful number, since it uses less digits than its factorization.

3467555742864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15017 (or 15011 counting only the distinct ones).

The product of its digits is 677376000, while the sum is 66.

The spelling of 3467555742864 in words is "three trillion, four hundred sixty-seven billion, five hundred fifty-five million, seven hundred forty-two thousand, eight hundred sixty-four".