350806900 has 72 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 128970240.

The previous prime is 350806891. The next prime is 350806903. The reversal of 350806900 is 9608053.

It is a super-2 number, since 2×350806900² = 246130962175220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350806903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70701 + ... + 75499.

It is an arithmetic number, because the mean of its divisors is an integer number (11457600).

Almost surely, 2^350806900 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 350806900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

350806900 is an abundant number, since it is smaller than the sum of its proper divisors (474140300).

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

350806900 is a wasteful number, since it uses less digits than its factorization.

350806900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 350806900 is about 18729.8398284662. The cubic root of 350806900 is about 705.2710256848.

The spelling of 350806900 in words is "three hundred fifty million, eight hundred six thousand, nine hundred".