342617865408 has 672 divisors, whose sum is σ = 1316277580800. Its totient is φ = 82646065152.

The previous prime is 342617865391. The next prime is 342617865419. The reversal of 342617865408 is 804568716243.

It is a happy number.

342617865408 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 17 + 86 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28875285 + ... + 28887147.

It is an arithmetic number, because the mean of its divisors is an integer number (1958746400).

Almost surely, 2^342617865408 is an apocalyptic number.

342617865408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342617865408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658138790400).

342617865408 is an abundant number, since it is smaller than the sum of its proper divisors (973659715392).

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

342617865408 is a wasteful number, since it uses less digits than its factorization.

342617865408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11949 (or 11936 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 342617865408 in words is "three hundred forty-two billion, six hundred seventeen million, eight hundred sixty-five thousand, four hundred eight".