350752000 has 144 divisors (see below), whose sum is σ = 890587152. Its totient is φ = 137625600.

The previous prime is 350751979. The next prime is 350752009. The reversal of 350752000 is 257053.

It can be written as a sum of positive squares in 8 ways, for example, as 234457344 + 116294656 = 15312^2 + 10784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350752009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103944 + ... + 3104056.

It is an arithmetic number, because the mean of its divisors is an integer number (6184633).

Almost surely, 2^350752000 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 350752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445293576).

350752000 is an abundant number, since it is smaller than the sum of its proper divisors (539835152).

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

350752000 is an equidigital number, since it uses as much as digits as its factorization.

350752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 350752000 is about 18728.3741953219. The cubic root of 350752000 is about 705.2342329846.

The spelling of 350752000 in words is "three hundred fifty million, seven hundred fifty-two thousand".