342535125000 has 224 divisors, whose sum is σ = 1133394867360. Its totient is φ = 85968000000.

The previous prime is 342535124951. The next prime is 342535125041. The reversal of 342535125000 is 521535243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 6348135 + ... + 6401865.

It is an arithmetic number, because the mean of its divisors is an integer number (5059798515).

Almost surely, 2^342535125000 is an apocalyptic number.

342535125000 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 342535125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566697433680).

342535125000 is an abundant number, since it is smaller than the sum of its proper divisors (790859742360).

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

342535125000 is an equidigital number, since it uses as much as digits as its factorization.

342535125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53787 (or 53758 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 342535125000 in words is "three hundred forty-two billion, five hundred thirty-five million, one hundred twenty-five thousand".