3468277004160 has 128 divisors (see below), whose sum is σ = 11411750338560. Its totient is φ = 895039211520.

The previous prime is 3468277004147. The next prime is 3468277004197. The reversal of 3468277004160 is 614007728643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29075872 + ... + 29194911.

It is an arithmetic number, because the mean of its divisors is an integer number (89154299520).

Almost surely, 2^{3468277004160} is an apocalyptic number.

3468277004160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3468277004160 is an abundant number, since it is smaller than the sum of its proper divisors (7943473334400).

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

3468277004160 is a wasteful number, since it uses less digits than its factorization.

3468277004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58270836 (or 58270824 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 3468277004160 in words is "three trillion, four hundred sixty-eight billion, two hundred seventy-seven million, four thousand, one hundred sixty".