35412224 has 72 divisors (see below), whose sum is σ = 76527360. Its totient is φ = 16293888.

The previous prime is 35412217. The next prime is 35412259. The reversal of 35412224 is 42221453.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 35412224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343757 + ... + 343859.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2^35412224 is an apocalyptic number.

35412224 is a gapful number since it is divisible by the number (34) 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 35412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38263680).

35412224 is an abundant number, since it is smaller than the sum of its proper divisors (41115136).

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

35412224 is a wasteful number, since it uses less digits than its factorization.

35412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 35412224 is about 5950.8170867537. The cubic root of 35412224 is about 328.3858239892.

Adding to 35412224 its reverse (42221453), we get a palindrome (77633677).

The spelling of 35412224 in words is "thirty-five million, four hundred twelve thousand, two hundred twenty-four".