3467889883776 has 128 divisors (see below), whose sum is σ = 9258471129600. Its totient is φ = 1150085541888.

The previous prime is 3467889883771. The next prime is 3467889883837. The reversal of 3467889883776 is 6773889887643.

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

It is not an unprimeable number, because it can be changed into a prime (3467889883771) 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 15 ways as a sum of consecutive naturals, for example, 153184330 + ... + 153206966.

It is an arithmetic number, because the mean of its divisors is an integer number (72331805700).

Almost surely, 2^{3467889883776} 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 3467889883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629235564800).

3467889883776 is an abundant number, since it is smaller than the sum of its proper divisors (5790581245824).

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

3467889883776 is a wasteful number, since it uses less digits than its factorization.

3467889883776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24666 (or 24654 counting only the distinct ones).

The product of its digits is 16387080192, while the sum is 84.

The spelling of 3467889883776 in words is "three trillion, four hundred sixty-seven billion, eight hundred eighty-nine million, eight hundred eighty-three thousand, seven hundred seventy-six".