350114064 has 80 divisors (see below), whose sum is σ = 965652480. Its totient is φ = 108984960.

The previous prime is 350113999. The next prime is 350114069. The reversal of 350114064 is 460411053.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (350114069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62049 + ... + 67455.

It is an arithmetic number, because the mean of its divisors is an integer number (12070656).

Almost surely, 2^350114064 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 350114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482826240).

350114064 is an abundant number, since it is smaller than the sum of its proper divisors (615538416).

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

350114064 is a wasteful number, since it uses less digits than its factorization.

350114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 350114064 is about 18711.3351741665. The cubic root of 350114064 is about 704.8064213755.

The spelling of 350114064 in words is "three hundred fifty million, one hundred fourteen thousand, sixty-four".