342801980928 has 160 divisors (see below), whose sum is σ = 1106965221120. Its totient is φ = 103879342080.

The previous prime is 342801980923. The next prime is 342801980933. The reversal of 342801980928 is 829089108243.

342801980928 is a `hidden beast` number, since 3 + 428 + 0 + 198 + 0 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (342801980923) and next prime (342801980933).

It is a super-4 number, since 4×342801980928⁴ (a number of 47 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342801980923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975100 + ... + 1279227.

It is an arithmetic number, because the mean of its divisors is an integer number (6918532632).

Almost surely, 2^342801980928 is an apocalyptic number.

It is an amenable number.

342801980928 is an abundant number, since it is smaller than the sum of its proper divisors (764163240192).

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

342801980928 is a wasteful number, since it uses less digits than its factorization.

342801980928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254365 (or 2254343 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 342801980928 in words is "three hundred forty-two billion, eight hundred one million, nine hundred eighty thousand, nine hundred twenty-eight".