342478080000 has 1440 divisors, whose sum is σ = 1468815828480. Its totient is φ = 75202560000.

The previous prime is 342478079947. The next prime is 342478080001. The reversal of 342478080000 is 80874243.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (342478080001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2499839932 + ... + 2499840068.

It is an arithmetic number, because the mean of its divisors is an integer number (1020010992).

Almost surely, 2^342478080000 is an apocalyptic number.

342478080000 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 342478080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734407914240).

342478080000 is an abundant number, since it is smaller than the sum of its proper divisors (1126337748480).

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

342478080000 is a wasteful number, since it uses less digits than its factorization.

342478080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 342478080000 in words is "three hundred forty-two billion, four hundred seventy-eight million, eighty thousand".