35225600 has 96 divisors (see below), whose sum is σ = 89389740. Its totient is φ = 13762560.

The previous prime is 35225569. The next prime is 35225611. The reversal of 35225600 is 652253.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 819179 + ... + 819221.

Almost surely, 2^35225600 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 35225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44694870).

35225600 is an abundant number, since it is smaller than the sum of its proper divisors (54164140).

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

35225600 is an frugal number, since it uses more digits than its factorization.

35225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 35225600 is about 5935.1158371173. The cubic root of 35225600 is about 327.8079383229.

Adding to 35225600 its reverse (652253), we get a palindrome (35877853).

It can be divided in two parts, 352 and 25600, that added together give a palindrome (25952).

The spelling of 35225600 in words is "thirty-five million, two hundred twenty-five thousand, six hundred".