350436240 has 640 divisors, whose sum is σ = 1571328000. Its totient is φ = 71124480.

The previous prime is 350436227. The next prime is 350436241. The reversal of 350436240 is 42634053.

350436240 is a `hidden beast` number, since 35 + 0 + 4 + 3 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (350436241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8149659 + ... + 8149701.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2^350436240 is an apocalyptic number.

350436240 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 350436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664000).

350436240 is an abundant number, since it is smaller than the sum of its proper divisors (1220891760).

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

350436240 is a wasteful number, since it uses less digits than its factorization.

350436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 350436240 is about 18719.9423076034. The cubic root of 350436240 is about 705.0225434168.

The spelling of 350436240 in words is "three hundred fifty million, four hundred thirty-six thousand, two hundred forty".