35738112 has 80 divisors (see below), whose sum is σ = 97225920. Its totient is φ = 11661312.

The previous prime is 35738081. The next prime is 35738119. The reversal of 35738112 is 21183753.

It is a self number, because there is not a number n which added to its sum of digits gives 35738112.

It is not an unprimeable number, because it can be changed into a prime (35738119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81189 + ... + 81627.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 2^35738112 is an apocalyptic number.

35738112 is a gapful number since it is divisible by the number (32) 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 35738112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48612960).

35738112 is an abundant number, since it is smaller than the sum of its proper divisors (61487808).

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

35738112 is an equidigital number, since it uses as much as digits as its factorization.

35738112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 35738112 is about 5978.1361643910. The cubic root of 35738112 is about 329.3900947730.

The spelling of 35738112 in words is "thirty-five million, seven hundred thirty-eight thousand, one hundred twelve".