350280000 has 420 divisors, whose sum is σ = 1444162720. Its totient is φ = 79488000.

The previous prime is 350279981. The next prime is 350280043. The reversal of 350280000 is 82053.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519931 + ... + 2520069.

Almost surely, 2^350280000 is an apocalyptic number.

350280000 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 350280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722081360).

350280000 is an abundant number, since it is smaller than the sum of its proper divisors (1093882720).

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

350280000 is a wasteful number, since it uses less digits than its factorization.

350280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 350280000 is about 18715.7687525787. The cubic root of 350280000 is about 704.9177510808.

The spelling of 350280000 in words is "three hundred fifty million, two hundred eighty thousand".