342475011000 has 384 divisors, whose sum is σ = 1203639091200. Its totient is φ = 87734880000.

The previous prime is 342475010989. The next prime is 342475011007. The reversal of 342475011000 is 110574243.

342475011000 is a `hidden beast` number, since 34 + 24 + 7 + 501 + 100 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342475011007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38776585 + ... + 38785415.

It is an arithmetic number, because the mean of its divisors is an integer number (3134476800).

Almost surely, 2^342475011000 is an apocalyptic number.

342475011000 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 342475011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601819545600).

342475011000 is an abundant number, since it is smaller than the sum of its proper divisors (861164080200).

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

342475011000 is a wasteful number, since it uses less digits than its factorization.

342475011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 342475011000 its reverse (110574243), we get a palindrome (342585585243).

The spelling of 342475011000 in words is "three hundred forty-two billion, four hundred seventy-five million, eleven thousand".