36288352 has 48 divisors (see below), whose sum is σ = 74535552. Its totient is φ = 17372160.

The previous prime is 36288331. The next prime is 36288359. The reversal of 36288352 is 25388263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36288359) 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, 155628 + ... + 155860.

It is an arithmetic number, because the mean of its divisors is an integer number (1552824).

Almost surely, 2^36288352 is an apocalyptic number.

36288352 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 36288352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37267776).

36288352 is an abundant number, since it is smaller than the sum of its proper divisors (38247200).

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

36288352 is a wasteful number, since it uses less digits than its factorization.

36288352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 36288352 is about 6023.9814076738. The cubic root of 36288352 is about 331.0719716443.

The spelling of 36288352 in words is "thirty-six million, two hundred eighty-eight thousand, three hundred fifty-two".