342967215360 has 1728 divisors, whose sum is σ = 1515156959232. Its totient is φ = 63995904000.

The previous prime is 342967215359. The next prime is 342967215389. The reversal of 342967215360 is 63512769243.

It is a super-4 number, since 4×342967215360⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 4830524125 + ... + 4830524195.

It is an arithmetic number, because the mean of its divisors is an integer number (876826944).

Almost surely, 2^342967215360 is an apocalyptic number.

342967215360 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 342967215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757578479616).

342967215360 is an abundant number, since it is smaller than the sum of its proper divisors (1172189743872).

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

342967215360 is a wasteful number, since it uses less digits than its factorization.

342967215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 342967215360 in words is "three hundred forty-two billion, nine hundred sixty-seven million, two hundred fifteen thousand, three hundred sixty".