350151200 has 144 divisors (see below), whose sum is σ = 1008935424. Its totient is φ = 116121600.

The previous prime is 350151161. The next prime is 350151211. The reversal of 350151200 is 2151053.

It is a super-2 number, since 2×350151200² = 245211725722880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172592 + ... + 174608.

It is an arithmetic number, because the mean of its divisors is an integer number (7006496).

Almost surely, 2^350151200 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 350151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504467712).

350151200 is an abundant number, since it is smaller than the sum of its proper divisors (658784224).

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

350151200 is a wasteful number, since it uses less digits than its factorization.

350151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 350151200 is about 18712.3274875147. The cubic root of 350151200 is about 704.8313396985.

The spelling of 350151200 in words is "three hundred fifty million, one hundred fifty-one thousand, two hundred".