342098588160 has 1920 divisors, whose sum is σ = 1514779833600. Its totient is φ = 73741860864.

The previous prime is 342098588147. The next prime is 342098588173. The reversal of 342098588160 is 61885890243.

342098588160 is a `hidden beast` number, since 3 + 42 + 0 + 9 + 8 + 588 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (342098588147) and next prime (342098588173).

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 342098588097 and 342098588106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7955781099 + ... + 7955781141.

It is an arithmetic number, because the mean of its divisors is an integer number (788947830).

Almost surely, 2^342098588160 is an apocalyptic number.

342098588160 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 342098588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757389916800).

342098588160 is an abundant number, since it is smaller than the sum of its proper divisors (1172681245440).

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

342098588160 is an frugal number, since it uses more digits than its factorization.

342098588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 342098588160 in words is "three hundred forty-two billion, ninety-eight million, five hundred eighty-eight thousand, one hundred sixty".