342748867968 has 384 divisors, whose sum is σ = 1075844689920. Its totient is φ = 104112304128.

The previous prime is 342748867963. The next prime is 342748867987. The reversal of 342748867968 is 869768847243.

342748867968 is a `hidden beast` number, since 3 + 4 + 27 + 488 + 67 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 342748867896 and 342748867905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342748867963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 583898971 + ... + 583899557.

It is an arithmetic number, because the mean of its divisors is an integer number (2801678880).

Almost surely, 2^342748867968 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 342748867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537922344960).

342748867968 is an abundant number, since it is smaller than the sum of its proper divisors (733095821952).

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

342748867968 is a wasteful number, since it uses less digits than its factorization.

342748867968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1039 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 342748867968 in words is "three hundred forty-two billion, seven hundred forty-eight million, eight hundred sixty-seven thousand, nine hundred sixty-eight".