342200738880 has 2240 divisors, whose sum is σ = 1662999528960. Its totient is φ = 65034731520.

The previous prime is 342200738863. The next prime is 342200738921. The reversal of 342200738880 is 88837002243.

342200738880 is a `hidden beast` number, since 3 + 422 + 0 + 0 + 73 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

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, 3139456266 + ... + 3139456374.

It is an arithmetic number, because the mean of its divisors is an integer number (742410504).

Almost surely, 2^342200738880 is an apocalyptic number.

342200738880 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 342200738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831499764480).

342200738880 is an abundant number, since it is smaller than the sum of its proper divisors (1320798790080).

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

342200738880 is a wasteful number, since it uses less digits than its factorization.

342200738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 342200738880 in words is "three hundred forty-two billion, two hundred million, seven hundred thirty-eight thousand, eight hundred eighty".