35642120 has 64 divisors (see below), whose sum is σ = 83341440. Its totient is φ = 13708800.

The previous prime is 35642107. The next prime is 35642143. The reversal of 35642120 is 2124653.

35642120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168815 + ... + 169025.

It is an arithmetic number, because the mean of its divisors is an integer number (1302210).

Almost surely, 2^35642120 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 35642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41670720).

35642120 is an abundant number, since it is smaller than the sum of its proper divisors (47699320).

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

35642120 is a wasteful number, since it uses less digits than its factorization.

35642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 35642120 is about 5970.1021766801. The cubic root of 35642120 is about 329.0949181512.

Adding to 35642120 its reverse (2124653), we get a palindrome (37766773).

The spelling of 35642120 in words is "thirty-five million, six hundred forty-two thousand, one hundred twenty".