36382820 has 48 divisors (see below), whose sum is σ = 79758000. Its totient is φ = 13923840.

The previous prime is 36382817. The next prime is 36382823. The reversal of 36382820 is 2828363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36382817) and next prime (36382823).

It can be written as a sum of positive squares in 8 ways, for example, as 12802084 + 23580736 = 3578^2 + 4856^2 .

It is not an unprimeable number, because it can be changed into a prime (36382823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86210 + ... + 86630.

It is an arithmetic number, because the mean of its divisors is an integer number (1661625).

Almost surely, 2^36382820 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 36382820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39879000).

36382820 is an abundant number, since it is smaller than the sum of its proper divisors (43375180).

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

36382820 is a wasteful number, since it uses less digits than its factorization.

36382820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 36382820 is about 6031.8173049256. The cubic root of 36382820 is about 331.3590114692.

The spelling of 36382820 in words is "thirty-six million, three hundred eighty-two thousand, eight hundred twenty".