342438969600 has 3240 divisors, whose sum is σ = 1707006010248. Its totient is φ = 66886041600.

The previous prime is 342438969577. The next prime is 342438969611. The reversal of 342438969600 is 6969834243.

342438969600 is a `hidden beast` number, since 3 + 4 + 24 + 3 + 8 + 9 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 204839518464 + 137599451136 = 452592^2 + 370944^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5613753570 + ... + 5613753630.

Almost surely, 2^342438969600 is an apocalyptic number.

342438969600 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 342438969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853503005124).

342438969600 is an abundant number, since it is smaller than the sum of its proper divisors (1364567040648).

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

342438969600 is a wasteful number, since it uses less digits than its factorization.

342438969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 342438969600 in words is "three hundred forty-two billion, four hundred thirty-eight million, nine hundred sixty-nine thousand, six hundred".