350040960 has 256 divisors, whose sum is σ = 1269043200. Its totient is φ = 91146240.

The previous prime is 350040953. The next prime is 350040967. The reversal of 350040960 is 69040053.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (350040953) and next prime (350040967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350040967) 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 31 ways as a sum of consecutive naturals, for example, 811945 + ... + 812375.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2^350040960 is an apocalyptic number.

350040960 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 350040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634521600).

350040960 is an abundant number, since it is smaller than the sum of its proper divisors (919002240).

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

350040960 is a wasteful number, since it uses less digits than its factorization.

350040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 350040960 is about 18709.3816038906. The cubic root of 350040960 is about 704.7573633109.

The spelling of 350040960 in words is "three hundred fifty million, forty thousand, nine hundred sixty".