350884224 has 192 divisors, whose sum is σ = 1085994000. Its totient is φ = 112637952.

The previous prime is 350884217. The next prime is 350884277. The reversal of 350884224 is 422488053.

350884224 is a `hidden beast` number, since 350 + 8 + 84 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901822 + ... + 902210.

Almost surely, 2^350884224 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 350884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542997000).

350884224 is an abundant number, since it is smaller than the sum of its proper divisors (735109776).

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

350884224 is an equidigital number, since it uses as much as digits as its factorization.

350884224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 350884224 is about 18731.9039075050. The cubic root of 350884224 is about 705.3228399170.

The spelling of 350884224 in words is "three hundred fifty million, eight hundred eighty-four thousand, two hundred twenty-four".