351120640 has 72 divisors (see below), whose sum is σ = 905782248. Its totient is φ = 129638400.

The previous prime is 351120629. The next prime is 351120643. The reversal of 351120640 is 46021153.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 351037696 = 288^2 + 18736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351120643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6090 + ... + 27190.

It is an arithmetic number, because the mean of its divisors is an integer number (12580309).

Almost surely, 2^351120640 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 351120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452891124).

351120640 is an abundant number, since it is smaller than the sum of its proper divisors (554661608).

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

351120640 is a wasteful number, since it uses less digits than its factorization.

351120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21135 (or 21121 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 351120640 is about 18738.2133620044. The cubic root of 351120640 is about 705.4812133031.

Adding to 351120640 its reverse (46021153), we get a palindrome (397141793).

The spelling of 351120640 in words is "three hundred fifty-one million, one hundred twenty thousand, six hundred forty".