350546436 has 72 divisors (see below), whose sum is σ = 920588760. Its totient is φ = 112375296.

The previous prime is 350546407. The next prime is 350546467. The reversal of 350546436 is 634645053.

350546436 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 4 + 643 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 322920900 = 5256^2 + 17970^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 350546436.

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, 117070 + ... + 120026.

It is an arithmetic number, because the mean of its divisors is an integer number (12785955).

Almost surely, 2^350546436 is an apocalyptic number.

350546436 is a gapful number since it is divisible by the number (36) 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 350546436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460294380).

350546436 is an abundant number, since it is smaller than the sum of its proper divisors (570042324).

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

350546436 is a wasteful number, since it uses less digits than its factorization.

350546436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 350546436 is about 18722.8853545601. The cubic root of 350546436 is about 705.0964346732.

The spelling of 350546436 in words is "three hundred fifty million, five hundred forty-six thousand, four hundred thirty-six".