35042220 has 120 divisors (see below), whose sum is σ = 111560064. Its totient is φ = 9206784.

The previous prime is 35042201. The next prime is 35042233. The reversal of 35042220 is 2224053.

35042220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 35042193 and 35042202.

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 39 ways as a sum of consecutive naturals, for example, 157029 + ... + 157251.

Almost surely, 2^35042220 is an apocalyptic number.

35042220 is a gapful number since it is divisible by the number (30) 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 35042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55780032).

35042220 is an abundant number, since it is smaller than the sum of its proper divisors (76517844).

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

35042220 is a wasteful number, since it uses less digits than its factorization.

35042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 35042220 is about 5919.6469489320. The cubic root of 35042220 is about 327.2381061862.

Adding to 35042220 its reverse (2224053), we get a palindrome (37266273).

The spelling of 35042220 in words is "thirty-five million, forty-two thousand, two hundred twenty".