35638372 has 72 divisors (see below), whose sum is σ = 80021312. Its totient is φ = 13590720.

The previous prime is 35638333. The next prime is 35638399. The reversal of 35638372 is 27383653.

35638372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 226918 + ... + 227074.

Almost surely, 2^35638372 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 35638372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40010656).

35638372 is an abundant number, since it is smaller than the sum of its proper divisors (44382940).

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

35638372 is a wasteful number, since it uses less digits than its factorization.

35638372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 35638372 is about 5969.7882709523. The cubic root of 35638372 is about 329.0833822587.

It can be divided in two parts, 3563 and 8372, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 35638372 in words is "thirty-five million, six hundred thirty-eight thousand, three hundred seventy-two".