342842375520 has 960 divisors, whose sum is σ = 1383512296320. Its totient is φ = 79433367552.

The previous prime is 342842375501. The next prime is 342842375521. The reversal of 342842375520 is 25573248243.

342842375520 is a `hidden beast` number, since 3 + 4 + 28 + 42 + 37 + 552 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342842375521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146952274 + ... + 146954606.

It is an arithmetic number, because the mean of its divisors is an integer number (1441158642).

Almost surely, 2^342842375520 is an apocalyptic number.

342842375520 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 342842375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691756148160).

342842375520 is an abundant number, since it is smaller than the sum of its proper divisors (1040669920800).

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

342842375520 is a wasteful number, since it uses less digits than its factorization.

342842375520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 342842375520 in words is "three hundred forty-two billion, eight hundred forty-two million, three hundred seventy-five thousand, five hundred twenty".