350912100 has 216 divisors, whose sum is σ = 1276348864. Its totient is φ = 72864000.

The previous prime is 350912087. The next prime is 350912101. The reversal of 350912100 is 1219053.

350912100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (350912101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 253410 + ... + 254790.

Almost surely, 2^350912100 is an apocalyptic number.

350912100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350912100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638174432).

350912100 is an abundant number, since it is smaller than the sum of its proper divisors (925436764).

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

350912100 is a wasteful number, since it uses less digits than its factorization.

350912100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 350912100 is about 18732.6479708556. The cubic root of 350912100 is about 705.3415175486.

The spelling of 350912100 in words is "three hundred fifty million, nine hundred twelve thousand, one hundred".