35016040 has 64 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 13508352.

The previous prime is 35016029. The next prime is 35016041. The reversal of 35016040 is 4061053.

It is a super-2 number, since 2×35016040² = 2452246114563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35015999 and 35016017.

It is not an unprimeable number, because it can be changed into a prime (35016041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 175861 + ... + 176059.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 2^35016040 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 35016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

35016040 is an abundant number, since it is smaller than the sum of its proper divisors (46631960).

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

35016040 is a wasteful number, since it uses less digits than its factorization.

35016040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 35016040 is about 5917.4352552436. The cubic root of 35016040 is about 327.1565928194.

Adding to 35016040 its reverse (4061053), we get a palindrome (39077093).

The spelling of 35016040 in words is "thirty-five million, sixteen thousand, forty".