354261366 has 48 divisors (see below), whose sum is σ = 794327040. Its totient is φ = 113989680.

The previous prime is 354261329. The next prime is 354261367. The reversal of 354261366 is 663162453.

354261366 is a `hidden beast` number, since 35 + 4 + 2 + 613 + 6 + 6 = 666.

It is a super-3 number, since 3×354261366³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 354261366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354261367) 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, 400761 + ... + 401643.

It is an arithmetic number, because the mean of its divisors is an integer number (16548480).

Almost surely, 2^354261366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354261366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397163520).

354261366 is an abundant number, since it is smaller than the sum of its proper divisors (440065674).

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

354261366 is a wasteful number, since it uses less digits than its factorization.

354261366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1638 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 354261366 is about 18821.8321637401. The cubic root of 354261366 is about 707.5784500988.

The spelling of 354261366 in words is "three hundred fifty-four million, two hundred sixty-one thousand, three hundred sixty-six".