354264768 has 504 divisors, whose sum is σ = 1328037984. Its totient is φ = 89210880.

The previous prime is 354264763. The next prime is 354264787. The reversal of 354264768 is 867462453.

354264768 is a `hidden beast` number, since 3 + 542 + 6 + 47 + 68 = 666.

354264768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×354264768³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354264761) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15402805 + ... + 15402827.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2^354264768 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 354264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664018992).

354264768 is an abundant number, since it is smaller than the sum of its proper divisors (973773216).

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

354264768 is a wasteful number, since it uses less digits than its factorization.

354264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 354264768 is about 18821.9225372968. The cubic root of 354264768 is about 707.5807150689.

The spelling of 354264768 in words is "three hundred fifty-four million, two hundred sixty-four thousand, seven hundred sixty-eight".