354311120 has 40 divisors (see below), whose sum is σ = 828358440. Its totient is φ = 140935680.

The previous prime is 354311071. The next prime is 354311141. The reversal of 354311120 is 21113453.

It can be written as a sum of positive squares in 4 ways, for example, as 16192576 + 338118544 = 4024^2 + 18388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 354311092 and 354311101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2246 + ... + 26714.

It is an arithmetic number, because the mean of its divisors is an integer number (20708961).

Almost surely, 2^354311120 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 354311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414179220).

354311120 is an abundant number, since it is smaller than the sum of its proper divisors (474047320).

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

354311120 is a wasteful number, since it uses less digits than its factorization.

354311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24663 (or 24657 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 354311120 is about 18823.1538271353. The cubic root of 354311120 is about 707.6115736751.

Adding to 354311120 its reverse (21113453), we get a palindrome (375424573).

The spelling of 354311120 in words is "three hundred fifty-four million, three hundred eleven thousand, one hundred twenty".