342318177976320 has 4608 divisors, whose sum is σ = 1609962349363200. Its totient is φ = 66999174561792.

The previous prime is 342318177976283. The next prime is 342318177976331. The reversal of 342318177976320 is 23679771813243.

342318177976320 is a `hidden beast` number, since 3 + 4 + 2 + 318 + 177 + 97 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-3 number, since 3×342318177976320³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 2049809448877 + ... + 2049809449043.

It is an arithmetic number, because the mean of its divisors is an integer number (349384190400).

Almost surely, 2^{342318177976320} is an apocalyptic number.

342318177976320 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 342318177976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804981174681600).

342318177976320 is an abundant number, since it is smaller than the sum of its proper divisors (1267644171386880).

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

342318177976320 is a wasteful number, since it uses less digits than its factorization.

342318177976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 342318177976320 in words is "three hundred forty-two trillion, three hundred eighteen billion, one hundred seventy-seven million, nine hundred seventy-six thousand, three hundred twenty".