342487401984 has 1920 divisors, whose sum is σ = 1410659712000. Its totient is φ = 80932110336.

The previous prime is 342487401973. The next prime is 342487402057. The reversal of 342487401984 is 489104784243.

342487401984 is a `hidden beast` number, since 3 + 42 + 487 + 40 + 1 + 9 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 342487401984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3848173012 + ... + 3848173100.

It is an arithmetic number, because the mean of its divisors is an integer number (734718600).

Almost surely, 2^342487401984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342487401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705329856000).

342487401984 is an abundant number, since it is smaller than the sum of its proper divisors (1068172310016).

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

342487401984 is a wasteful number, since it uses less digits than its factorization.

342487401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

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

The spelling of 342487401984 in words is "three hundred forty-two billion, four hundred eighty-seven million, four hundred one thousand, nine hundred eighty-four".