35042820 has 48 divisors (see below), whose sum is σ = 99375360. Its totient is φ = 9225216.

The previous prime is 35042801. The next prime is 35042837. The reversal of 35042820 is 2824053.

35042820 = T₂₀₈ + T₂₀₉ + ... + T₆₀₂.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044 + ... + 8436.

It is an arithmetic number, because the mean of its divisors is an integer number (2070320).

Almost surely, 2^35042820 is an apocalyptic number.

35042820 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 35042820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49687680).

35042820 is an abundant number, since it is smaller than the sum of its proper divisors (64332540).

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

35042820 is a wasteful number, since it uses less digits than its factorization.

35042820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 35042820 is about 5919.6976274131. The cubic root of 35042820 is about 327.2399738546.

Adding to 35042820 its reverse (2824053), we get a palindrome (37866873).

The spelling of 35042820 in words is "thirty-five million, forty-two thousand, eight hundred twenty".