342738643680 has 960 divisors, whose sum is σ = 1348868505600. Its totient is φ = 81621872640.

The previous prime is 342738643673. The next prime is 342738643693. The reversal of 342738643680 is 86346837243.

342738643680 is a `hidden beast` number, since 3 + 4 + 273 + 8 + 6 + 4 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 267973281 + ... + 267974559.

It is an arithmetic number, because the mean of its divisors is an integer number (1405071360).

Almost surely, 2^342738643680 is an apocalyptic number.

342738643680 is a gapful number since it is divisible by the number (30) 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 342738643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674434252800).

342738643680 is an abundant number, since it is smaller than the sum of its proper divisors (1006129861920).

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

342738643680 is a wasteful number, since it uses less digits than its factorization.

342738643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 342738643680 in words is "three hundred forty-two billion, seven hundred thirty-eight million, six hundred forty-three thousand, six hundred eighty".