3464272867104 has 144 divisors (see below), whose sum is σ = 11308486932288. Its totient is φ = 985431799296.

The previous prime is 3464272867091. The next prime is 3464272867109. The reversal of 3464272867104 is 4017682724643.

3464272867104 is a `hidden beast` number, since 3 + 464 + 2 + 72 + 8 + 6 + 7 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3464272867109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3327367 + ... + 4242630.

It is an arithmetic number, because the mean of its divisors is an integer number (78531159252).

Almost surely, 2^{3464272867104} is an apocalyptic number.

It is an amenable number.

3464272867104 is an abundant number, since it is smaller than the sum of its proper divisors (7844214065184).

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

3464272867104 is a wasteful number, since it uses less digits than its factorization.

3464272867104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570247 (or 7570236 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 3464272867104 in words is "three trillion, four hundred sixty-four billion, two hundred seventy-two million, eight hundred sixty-seven thousand, one hundred four".