36825303440 has 40 divisors (see below), whose sum is σ = 90655235640. Its totient is φ = 13863643136.

The previous prime is 36825303377. The next prime is 36825303443. The reversal of 36825303440 is 4430352863.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1125468304 + 35699835136 = 33548^2 + 188944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×36825303440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36825303394 and 36825303403.

It is not an unprimeable number, because it can be changed into a prime (36825303443) 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, 13537355 + ... + 13540074.

It is an arithmetic number, because the mean of its divisors is an integer number (2266380891).

Almost surely, 2^36825303440 is an apocalyptic number.

It is an amenable number.

36825303440 is an abundant number, since it is smaller than the sum of its proper divisors (53829932200).

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

36825303440 is a wasteful number, since it uses less digits than its factorization.

36825303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27077459 (or 27077453 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 36825303440 in words is "thirty-six billion, eight hundred twenty-five million, three hundred three thousand, four hundred forty".