340977106008 has 512 divisors, whose sum is σ = 1252719820800. Its totient is φ = 83196979200.

The previous prime is 340977105971. The next prime is 340977106031. The reversal of 340977106008 is 800601779043.

340977106008 is a `hidden beast` number, since 34 + 0 + 9 + 7 + 7 + 1 + 0 + 600 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229304641 + ... + 229306127.

It is an arithmetic number, because the mean of its divisors is an integer number (2446718400).

Almost surely, 2^340977106008 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 340977106008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626359910400).

340977106008 is an abundant number, since it is smaller than the sum of its proper divisors (911742714792).

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

340977106008 is a wasteful number, since it uses less digits than its factorization.

340977106008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 340977 and 106008, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 340977106008 in words is "three hundred forty billion, nine hundred seventy-seven million, one hundred six thousand, eight".