351822240 has 576 divisors, whose sum is σ = 1585059840. Its totient is φ = 68843520.

The previous prime is 351822203. The next prime is 351822241. The reversal of 351822240 is 42228153.

It is not an unprimeable number, because it can be changed into a prime (351822241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106637 + ... + 2106803.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^351822240 is an apocalyptic number.

351822240 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 351822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

351822240 is an abundant number, since it is smaller than the sum of its proper divisors (1233237600).

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

351822240 is a wasteful number, since it uses less digits than its factorization.

351822240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 351822240 is about 18756.9251211386. The cubic root of 351822240 is about 705.9507919917.

The spelling of 351822240 in words is "three hundred fifty-one million, eight hundred twenty-two thousand, two hundred forty".