350086100 has 288 divisors, whose sum is σ = 1035933696. Its totient is φ = 99532800.

The previous prime is 350086097. The next prime is 350086109. The reversal of 350086100 is 1680053.

350086100 is a modest number, since divided by 86100 gives 3500 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350086109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4795664 + ... + 4795736.

It is an arithmetic number, because the mean of its divisors is an integer number (3596992).

Almost surely, 2^350086100 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 350086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517966848).

350086100 is an abundant number, since it is smaller than the sum of its proper divisors (685847596).

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

350086100 is a wasteful number, since it uses less digits than its factorization.

350086100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 350086100 is about 18710.5879116611. The cubic root of 350086100 is about 704.7876563181.

The spelling of 350086100 in words is "three hundred fifty million, eighty-six thousand, one hundred".