351840384 has 288 divisors, whose sum is σ = 1233498240. Its totient is φ = 95800320.

The previous prime is 351840373. The next prime is 351840389. The reversal of 351840384 is 483048153.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (351840389) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1298169 + ... + 1298439.

It is an arithmetic number, because the mean of its divisors is an integer number (4282980).

Almost surely, 2^351840384 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 351840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616749120).

351840384 is an abundant number, since it is smaller than the sum of its proper divisors (881657856).

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

351840384 is a wasteful number, since it uses less digits than its factorization.

351840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 351840384 is about 18757.4087762676. The cubic root of 351840384 is about 705.9629274297.

The spelling of 351840384 in words is "three hundred fifty-one million, eight hundred forty thousand, three hundred eighty-four".