36339840 has 160 divisors (see below), whose sum is σ = 129961260. Its totient is φ = 9676800.

The previous prime is 36339833. The next prime is 36339841. The reversal of 36339840 is 4893363.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 627264 = 5976^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36339795 and 36339804.

It is not an unprimeable number, because it can be changed into a prime (36339841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51490 + ... + 52190.

Almost surely, 2^36339840 is an apocalyptic number.

36339840 is a gapful number since it is divisible by the number (30) 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 36339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64980630).

36339840 is an abundant number, since it is smaller than the sum of its proper divisors (93621420).

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

36339840 is an equidigital number, since it uses as much as digits as its factorization.

36339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36339840 is about 6028.2534784131. The cubic root of 36339840 is about 331.2284789626.

The spelling of 36339840 in words is "thirty-six million, three hundred thirty-nine thousand, eight hundred forty".