3400930879488 has 192 divisors, whose sum is σ = 10104862622400. Its totient is φ = 1130212638720.

The previous prime is 3400930879483. The next prime is 3400930879583. The reversal of 3400930879488 is 8849780390043.

3400930879488 is a `hidden beast` number, since 3 + 40 + 0 + 9 + 30 + 87 + 9 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3400930879483) 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, 18210070 + ... + 18395882.

It is an arithmetic number, because the mean of its divisors is an integer number (52629492825).

Almost surely, 2^{3400930879488} 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 3400930879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052431311200).

3400930879488 is an abundant number, since it is smaller than the sum of its proper divisors (6703931742912).

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

3400930879488 is a wasteful number, since it uses less digits than its factorization.

3400930879488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186175 (or 186149 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3400930879488 in words is "three trillion, four hundred billion, nine hundred thirty million, eight hundred seventy-nine thousand, four hundred eighty-eight".