354122704000 has 256 divisors, whose sum is σ = 950952038400. Its totient is φ = 130368614400.

The previous prime is 354122703997. The next prime is 354122704037. The reversal of 354122704000 is 407221453.

It is a self number, because there is not a number n which added to its sum of digits gives 354122704000.

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 31 ways as a sum of consecutive naturals, for example, 76333681 + ... + 76338319.

It is an arithmetic number, because the mean of its divisors is an integer number (3714656400).

Almost surely, 2^354122704000 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 354122704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475476019200).

354122704000 is an abundant number, since it is smaller than the sum of its proper divisors (596829334400).

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

354122704000 is a wasteful number, since it uses less digits than its factorization.

354122704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 354122704000 its reverse (407221453), we get a palindrome (354529925453).

The spelling of 354122704000 in words is "three hundred fifty-four billion, one hundred twenty-two million, seven hundred four thousand".