342485176320 has 832 divisors, whose sum is σ = 1452394045440. Its totient is φ = 74859282432.

The previous prime is 342485176309. The next prime is 342485176351. The reversal of 342485176320 is 23671584243.

342485176320 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 8 + 5 + 1 + 7 + 632 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 89024637 + ... + 89028483.

It is an arithmetic number, because the mean of its divisors is an integer number (1745665920).

Almost surely, 2^342485176320 is an apocalyptic number.

342485176320 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 342485176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726197022720).

342485176320 is an abundant number, since it is smaller than the sum of its proper divisors (1109908869120).

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

342485176320 is a wasteful number, since it uses less digits than its factorization.

342485176320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 342485176320 in words is "three hundred forty-two billion, four hundred eighty-five million, one hundred seventy-six thousand, three hundred twenty".