350640120 has 128 divisors (see below), whose sum is σ = 1089584640. Its totient is φ = 90201600.

The previous prime is 350640109. The next prime is 350640137. The reversal of 350640120 is 21046053.

It is a happy number.

It is a super-2 number, since 2×350640120² = 245896987507228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670179 + ... + 670701.

It is an arithmetic number, because the mean of its divisors is an integer number (8512380).

Almost surely, 2^350640120 is an apocalyptic number.

350640120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544792320).

350640120 is an abundant number, since it is smaller than the sum of its proper divisors (738944520).

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

350640120 is a wasteful number, since it uses less digits than its factorization.

350640120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 350640120 is about 18725.3870453991. The cubic root of 350640120 is about 705.1592417309.

Adding to 350640120 its reverse (21046053), we get a palindrome (371686173).

The spelling of 350640120 in words is "three hundred fifty million, six hundred forty thousand, one hundred twenty".