354006142300 has 72 divisors (see below), whose sum is σ = 773902467072. Its totient is φ = 140553336000.

The previous prime is 354006142297. The next prime is 354006142309. The reversal of 354006142300 is 3241600453.

It is a super-2 number, since 2×354006142300² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354006142309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8823285 + ... + 8863315.

It is an arithmetic number, because the mean of its divisors is an integer number (10748645376).

Almost surely, 2^354006142300 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 354006142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386951233536).

354006142300 is an abundant number, since it is smaller than the sum of its proper divisors (419896324772).

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

354006142300 is a wasteful number, since it uses less digits than its factorization.

354006142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40699 (or 40692 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 354006142300 its reverse (3241600453), we get a palindrome (357247742753).

The spelling of 354006142300 in words is "three hundred fifty-four billion, six million, one hundred forty-two thousand, three hundred".