350844100 has 54 divisors (see below), whose sum is σ = 776588750. Its totient is φ = 137579520.

The previous prime is 350844097. The next prime is 350844103. The reversal of 350844100 is 1448053.

It is an interprime number because it is at equal distance from previous prime (350844097) and next prime (350844103).

It can be written as a sum of positive squares in 9 ways, for example, as 41576704 + 309267396 = 6448^2 + 17586^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350844103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 280276 + ... + 281524.

Almost surely, 2^350844100 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 350844100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388294375).

350844100 is an abundant number, since it is smaller than the sum of its proper divisors (425744650).

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

350844100 is a wasteful number, since it uses less digits than its factorization.

350844100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 350844100 is about 18730.8328698966. The cubic root of 350844100 is about 705.2959540759.

The spelling of 350844100 in words is "three hundred fifty million, eight hundred forty-four thousand, one hundred".