342178836480 has 1456 divisors, whose sum is σ = 1389755306016. Its totient is φ = 80263249920.

The previous prime is 342178836463. The next prime is 342178836481. The reversal of 342178836480 is 84638871243.

342178836480 is a `hidden beast` number, since 3 + 42 + 17 + 88 + 36 + 480 = 666.

It is a super-2 number, since 2×342178836480² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (342178836481) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 7957647339 + ... + 7957647381.

Almost surely, 2^342178836480 is an apocalyptic number.

342178836480 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 342178836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694877653008).

342178836480 is an abundant number, since it is smaller than the sum of its proper divisors (1047576469536).

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

342178836480 is an equidigital number, since it uses as much as digits as its factorization.

342178836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 342178836480 in words is "three hundred forty-two billion, one hundred seventy-eight million, eight hundred thirty-six thousand, four hundred eighty".