354166120 has 96 divisors (see below), whose sum is σ = 1011307680. Its totient is φ = 110382720.

The previous prime is 354166097. The next prime is 354166123. The reversal of 354166120 is 21661453.

354166120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354166123) 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, 13347 + ... + 29773.

It is an arithmetic number, because the mean of its divisors is an integer number (10534455).

Almost surely, 2^354166120 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 354166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505653840).

354166120 is an abundant number, since it is smaller than the sum of its proper divisors (657141560).

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

354166120 is a wasteful number, since it uses less digits than its factorization.

354166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16463 (or 16452 counting only the distinct ones).

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

The square root of 354166120 is about 18819.3017936373. The cubic root of 354166120 is about 707.5150317075.

The spelling of 354166120 in words is "three hundred fifty-four million, one hundred sixty-six thousand, one hundred twenty".