36320352 has 48 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 12048512.

The previous prime is 36320351. The next prime is 36320359. The reversal of 36320352 is 25302363.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36320351) 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, 22153 + ... + 23735.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^36320352 is an apocalyptic number.

36320352 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 36320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

36320352 is an abundant number, since it is smaller than the sum of its proper divisors (59479968).

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

36320352 is a wasteful number, since it uses less digits than its factorization.

36320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 36320352 is about 6026.6368730827. The cubic root of 36320352 is about 331.1692589732.

The spelling of 36320352 in words is "thirty-six million, three hundred twenty thousand, three hundred fifty-two".