350382720 has 128 divisors (see below), whose sum is σ = 1144342080. Its totient is φ = 91136000.

The previous prime is 350382707. The next prime is 350382737. The reversal of 350382720 is 27283053.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 76495 + ... + 80945.

Almost surely, 2^350382720 is an apocalyptic number.

350382720 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 350382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572171040).

350382720 is an abundant number, since it is smaller than the sum of its proper divisors (793959360).

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

350382720 is a wasteful number, since it uses less digits than its factorization.

350382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 350382720 is about 18718.5127614349. The cubic root of 350382720 is about 704.9866503181.

The spelling of 350382720 in words is "three hundred fifty million, three hundred eighty-two thousand, seven hundred twenty".