350415072 has 360 divisors, whose sum is σ = 1251391680. Its totient is φ = 95800320.

The previous prime is 350415059. The next prime is 350415073. The reversal of 350415072 is 270514053.

It is a happy number.

350415072 is a `hidden beast` number, since 3 + 504 + 150 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350415073) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 3937204 + ... + 3937292.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 2^350415072 is an apocalyptic number.

350415072 is a gapful number since it is divisible by the number (32) 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 350415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625695840).

350415072 is an abundant number, since it is smaller than the sum of its proper divisors (900976608).

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

350415072 is a wasteful number, since it uses less digits than its factorization.

350415072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 350415072 is about 18719.3769127073. The cubic root of 350415072 is about 705.0083475698.

The spelling of 350415072 in words is "three hundred fifty million, four hundred fifteen thousand, seventy-two".