354131120 has 160 divisors (see below), whose sum is σ = 1004935680. Its totient is φ = 113356800.

The previous prime is 354131119. The next prime is 354131137. The reversal of 354131120 is 21131453.

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 = 354131092 and 354131101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882920 + ... + 883320.

It is an arithmetic number, because the mean of its divisors is an integer number (6280848).

Almost surely, 2^354131120 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 354131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502467840).

354131120 is an abundant number, since it is smaller than the sum of its proper divisors (650804560).

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

354131120 is a wasteful number, since it uses less digits than its factorization.

354131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

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

The square root of 354131120 is about 18818.3718743147. The cubic root of 354131120 is about 707.4917245262.

Adding to 354131120 its reverse (21131453), we get a palindrome (375262573).

The spelling of 354131120 in words is "three hundred fifty-four million, one hundred thirty-one thousand, one hundred twenty".