350002000 has 80 divisors (see below), whose sum is σ = 853070400. Its totient is φ = 138883200.

The previous prime is 350001991. The next prime is 350002007. The reversal of 350002000 is 200053.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350002007) 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, 277371 + ... + 278629.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^350002000 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 350002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

350002000 is an abundant number, since it is smaller than the sum of its proper divisors (503068400).

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

350002000 is a wasteful number, since it uses less digits than its factorization.

350002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 350002000 is about 18708.3403860417. The cubic root of 350002000 is about 704.7312155465.

Adding to 350002000 its reverse (200053), we get a palindrome (350202053).

The spelling of 350002000 in words is "three hundred fifty million, two thousand".