354216610000 has 300 divisors, whose sum is σ = 954272110176. Its totient is φ = 127218080000.

The previous prime is 354216609991. The next prime is 354216610001. The reversal of 354216610000 is 16612453.

It is a super-3 number, since 3×354216610000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354216610001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 100428237 + ... + 100431763.

Almost surely, 2^354216610000 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 354216610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477136055088).

354216610000 is an abundant number, since it is smaller than the sum of its proper divisors (600055500176).

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

354216610000 is a wasteful number, since it uses less digits than its factorization.

354216610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 354216610000 in words is "three hundred fifty-four billion, two hundred sixteen million, six hundred ten thousand".