36876224 has 84 divisors (see below), whose sum is σ = 92948760. Its totient is φ = 14353920.

The previous prime is 36876221. The next prime is 36876227. The reversal of 36876224 is 42267863.

36876224 = T₂₃₂ + T₂₃₃ + ... + T₆₁₅.

It is an interprime number because it is at equal distance from previous prime (36876221) and next prime (36876227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36876221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33962 + ... + 35030.

Almost surely, 2^36876224 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 36876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46474380).

36876224 is an abundant number, since it is smaller than the sum of its proper divisors (56072536).

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

36876224 is a wasteful number, since it uses less digits than its factorization.

36876224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1089 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 36876224 is about 6072.5796824743. The cubic root of 36876224 is about 332.8501942905.

The spelling of 36876224 in words is "thirty-six million, eight hundred seventy-six thousand, two hundred twenty-four".