35381920 has 72 divisors (see below), whose sum is σ = 97258644. Its totient is φ = 12128256.

The previous prime is 35381903. The next prime is 35381939. The reversal of 35381920 is 2918353.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28601104 + 6780816 = 5348^2 + 2604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5584 + ... + 10096.

Almost surely, 2^35381920 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 35381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48629322).

35381920 is an abundant number, since it is smaller than the sum of its proper divisors (61876724).

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

35381920 is a wasteful number, since it uses less digits than its factorization.

35381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 35381920 is about 5948.2703368290. The cubic root of 35381920 is about 328.2921252333.

The spelling of 35381920 in words is "thirty-five million, three hundred eighty-one thousand, nine hundred twenty".