35730144 has 72 divisors (see below), whose sum is σ = 102735360. Its totient is φ = 11778048.

The previous prime is 35730137. The next prime is 35730161. The reversal of 35730144 is 44103753.

35730144 is a `hidden beast` number, since 357 + 301 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27297 + ... + 28575.

It is an arithmetic number, because the mean of its divisors is an integer number (1426880).

Almost surely, 2^35730144 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 35730144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367680).

35730144 is an abundant number, since it is smaller than the sum of its proper divisors (67005216).

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

35730144 is a wasteful number, since it uses less digits than its factorization.

35730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 35730144 is about 5977.4696987940. The cubic root of 35730144 is about 329.3656132022.

Adding to 35730144 its reverse (44103753), we get a palindrome (79833897).

The spelling of 35730144 in words is "thirty-five million, seven hundred thirty thousand, one hundred forty-four".