354255034400 has 144 divisors (see below), whose sum is σ = 907159938048. Its totient is φ = 134830080000.

The previous prime is 354255034369. The next prime is 354255034421. The reversal of 354255034400 is 4430552453.

It is a super-3 number, since 3×354255034400³ (a number of 36 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3464000 + ... + 3564800.

It is an arithmetic number, because the mean of its divisors is an integer number (6299721792).

Almost surely, 2^354255034400 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 354255034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453579969024).

354255034400 is an abundant number, since it is smaller than the sum of its proper divisors (552904903648).

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

354255034400 is a wasteful number, since it uses less digits than its factorization.

354255034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101035 (or 101022 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 354255034400 its reverse (4430552453), we get a palindrome (358685586853).

The spelling of 354255034400 in words is "three hundred fifty-four billion, two hundred fifty-five million, thirty-four thousand, four hundred".