35224000 has 224 divisors, whose sum is σ = 108411264. Its totient is φ = 11059200.

The previous prime is 35223997. The next prime is 35224001. The reversal of 35224000 is 42253.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35224001) 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 31 ways as a sum of consecutive naturals, for example, 951982 + ... + 952018.

Almost surely, 2^35224000 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 35224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54205632).

35224000 is an abundant number, since it is smaller than the sum of its proper divisors (73187264).

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

35224000 is a wasteful number, since it uses less digits than its factorization.

35224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 35224000 is about 5934.9810446201. The cubic root of 35224000 is about 327.8029750704.

Adding to 35224000 its reverse (42253), we get a palindrome (35266253).

It can be divided in two parts, 35 and 224000, that multiplied together give a square (7840000 = 2800²).

The spelling of 35224000 in words is "thirty-five million, two hundred twenty-four thousand".