342108450432 has 384 divisors, whose sum is σ = 1223485136640. Its totient is φ = 89507856384.

The previous prime is 342108450421. The next prime is 342108450457. The reversal of 342108450432 is 234054801243.

342108450432 is a `hidden beast` number, since 3 + 4 + 210 + 8 + 4 + 5 + 0 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 5038533 + ... + 5105979.

It is an arithmetic number, because the mean of its divisors is an integer number (3186159210).

Almost surely, 2^342108450432 is an apocalyptic number.

342108450432 is a gapful number since it is divisible by the number (32) 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 342108450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611742568320).

342108450432 is an abundant number, since it is smaller than the sum of its proper divisors (881376686208).

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

342108450432 is a wasteful number, since it uses less digits than its factorization.

342108450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67528 (or 67513 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 342108450432 in words is "three hundred forty-two billion, one hundred eight million, four hundred fifty thousand, four hundred thirty-two".