354224035222400 has 96 divisors (see below), whose sum is σ = 1000050356646480. Its totient is φ = 121448240640000.

The previous prime is 354224035222373. The next prime is 354224035222483. The reversal of 354224035222400 is 4222530422453.

It is a super-3 number, since 3×354224035222400³ (a number of 45 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7906764101 + ... + 7906808900.

Almost surely, 2^{354224035222400} is an apocalyptic number.

It is an amenable number.

354224035222400 is an abundant number, since it is smaller than the sum of its proper divisors (645826321424080).

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

354224035222400 is a wasteful number, since it uses less digits than its factorization.

354224035222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813573032 (or 15813573015 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 38.

Adding to 354224035222400 its reverse (4222530422453), we get a palindrome (358446565644853).

The spelling of 354224035222400 in words is "three hundred fifty-four trillion, two hundred twenty-four billion, thirty-five million, two hundred twenty-two thousand, four hundred".