350476800 has 120 divisors (see below), whose sum is σ = 1157905056. Its totient is φ = 93450240.

The previous prime is 350476771. The next prime is 350476801. The reversal of 350476800 is 8674053.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (350476801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33837 + ... + 42963.

Almost surely, 2^350476800 is an apocalyptic number.

350476800 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 350476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578952528).

350476800 is an abundant number, since it is smaller than the sum of its proper divisors (807428256).

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

350476800 is an equidigital number, since it uses as much as digits as its factorization.

350476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9158 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 350476800 is about 18721.0256129305. The cubic root of 350476800 is about 705.0497424789.

The spelling of 350476800 in words is "three hundred fifty million, four hundred seventy-six thousand, eight hundred".