354216768 has 56 divisors (see below), whose sum is σ = 941515008. Its totient is φ = 117528576.

The previous prime is 354216749. The next prime is 354216773. The reversal of 354216768 is 867612453.

It is a super-3 number, since 3×354216768³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38680 + ... + 46952.

It is an arithmetic number, because the mean of its divisors is an integer number (16812768).

Almost surely, 2^354216768 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 354216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470757504).

354216768 is an abundant number, since it is smaller than the sum of its proper divisors (587298240).

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

354216768 is a wasteful number, since it uses less digits than its factorization.

354216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8501 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 354216768 is about 18820.6473852522. The cubic root of 354216768 is about 707.5487564779.

The spelling of 354216768 in words is "three hundred fifty-four million, two hundred sixteen thousand, seven hundred sixty-eight".