342975548160 has 2304 divisors, whose sum is σ = 1582350336000. Its totient is φ = 68558192640.

The previous prime is 342975548159. The next prime is 342975548171. The reversal of 342975548160 is 61845579243.

It is a happy number.

342975548160 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 7 + 554 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 342975548097 and 342975548106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4132235479 + ... + 4132235561.

It is an arithmetic number, because the mean of its divisors is an integer number (686784000).

It is a 1-persistent number, because it is pandigital, but 2⋅342975548160 = 685951096320 is not.

Almost surely, 2^342975548160 is an apocalyptic number.

342975548160 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 342975548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175168000).

342975548160 is an abundant number, since it is smaller than the sum of its proper divisors (1239374787840).

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

342975548160 is a wasteful number, since it uses less digits than its factorization.

342975548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 342975548160 in words is "three hundred forty-two billion, nine hundred seventy-five million, five hundred forty-eight thousand, one hundred sixty".