36975760 has 40 divisors (see below), whose sum is σ = 87389496. Its totient is φ = 14545920.

The previous prime is 36975751. The next prime is 36975769. The reversal of 36975760 is 6757963.

It is an interprime number because it is at equal distance from previous prime (36975751) and next prime (36975769).

It can be written as a sum of positive squares in 4 ways, for example, as 3936256 + 33039504 = 1984^2 + 5748^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36975769) 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, 1092 + ... + 8668.

Almost surely, 2^36975760 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 36975760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43694748).

36975760 is an abundant number, since it is smaller than the sum of its proper divisors (50413736).

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

36975760 is a wasteful number, since it uses less digits than its factorization.

36975760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 43.

The square root of 36975760 is about 6080.7696881234. The cubic root of 36975760 is about 333.1494007473.

The spelling of 36975760 in words is "thirty-six million, nine hundred seventy-five thousand, seven hundred sixty".