354542120 has 64 divisors (see below), whose sum is σ = 810810000. Its totient is φ = 139511808.

The previous prime is 354542119. The next prime is 354542137. The reversal of 354542120 is 21245453.

It is a happy number.

354542120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 174821284 + 179720836 = 13222^2 + 13406^2 .

It is a super-2 number, since 2×354542120² = 251400229708188800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354542120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015706 + ... + 1016054.

Almost surely, 2^354542120 is an apocalyptic number.

It is an amenable number.

354542120 is an abundant number, since it is smaller than the sum of its proper divisors (456267880).

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

354542120 is a wasteful number, since it uses less digits than its factorization.

354542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 354542120 is about 18829.2888872628. The cubic root of 354542120 is about 707.7653206260.

Adding to 354542120 its reverse (21245453), we get a palindrome (375787573).

The spelling of 354542120 in words is "three hundred fifty-four million, five hundred forty-two thousand, one hundred twenty".