342789475392 has 1120 divisors, whose sum is σ = 1318503352320. Its totient is φ = 85638021120.

The previous prime is 342789475337. The next prime is 342789475421. The reversal of 342789475392 is 293574987243.

342789475392 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 8 + 94 + 7 + 539 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 715635409 + ... + 715635887.

It is an arithmetic number, because the mean of its divisors is an integer number (1177235136).

Almost surely, 2^342789475392 is an apocalyptic number.

342789475392 is a gapful number since it is divisible by the number (32) 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 342789475392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659251676160).

342789475392 is an abundant number, since it is smaller than the sum of its proper divisors (975713876928).

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

342789475392 is a wasteful number, since it uses less digits than its factorization.

342789475392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 582 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 342789475392 in words is "three hundred forty-two billion, seven hundred eighty-nine million, four hundred seventy-five thousand, three hundred ninety-two".