342890678736096 has 96 divisors (see below), whose sum is σ = 921212524108800. Its totient is φ = 111615527138304.

The previous prime is 342890678736071. The next prime is 342890678736149. The reversal of 342890678736096 is 690637876098243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11120305 + ... + 28450703.

It is an arithmetic number, because the mean of its divisors is an integer number (9595963792800).

Almost surely, 2^{342890678736096} 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 342890678736096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460606262054400).

342890678736096 is an abundant number, since it is smaller than the sum of its proper divisors (578321845372704).

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

342890678736096 is a wasteful number, since it uses less digits than its factorization.

342890678736096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17335248 (or 17335240 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 78.

The spelling of 342890678736096 in words is "three hundred forty-two trillion, eight hundred ninety billion, six hundred seventy-eight million, seven hundred thirty-six thousand, ninety-six".