3469612764384 has 144 divisors (see below), whose sum is σ = 10628124251472. Its totient is φ = 1067328497664.

The previous prime is 3469612764383. The next prime is 3469612764389. The reversal of 3469612764384 is 4834672169643.

3469612764384 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 612 + 7 + 6 + 4 + 3 + 8 + 4 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3469612764383) 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, 16583047 + ... + 16790969.

It is an arithmetic number, because the mean of its divisors is an integer number (73806418413).

Almost surely, 2^{3469612764384} 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 3469612764384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314062125736).

3469612764384 is an abundant number, since it is smaller than the sum of its proper divisors (7158511487088).

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

3469612764384 is a wasteful number, since it uses less digits than its factorization.

3469612764384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212409 (or 212398 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 3469612764384 in words is "three trillion, four hundred sixty-nine billion, six hundred twelve million, seven hundred sixty-four thousand, three hundred eighty-four".