342006178500 has 960 divisors, whose sum is σ = 1397343467520. Its totient is φ = 71008358400.

The previous prime is 342006178441. The next prime is 342006178511. The reversal of 342006178500 is 5871600243.

342006178500 is a `hidden beast` number, since 3 + 4 + 20 + 0 + 61 + 78 + 500 = 666.

It is a super-2 number, since 2×342006178500² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 139764277 + ... + 139766723.

It is an arithmetic number, because the mean of its divisors is an integer number (1455566112).

Almost surely, 2^342006178500 is an apocalyptic number.

342006178500 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 342006178500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698671733760).

342006178500 is an abundant number, since it is smaller than the sum of its proper divisors (1055337289020).

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

342006178500 is a wasteful number, since it uses less digits than its factorization.

342006178500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 342006178500 its reverse (5871600243), we get a palindrome (347877778743).

The spelling of 342006178500 in words is "three hundred forty-two billion, six million, one hundred seventy-eight thousand, five hundred".