36992800 has 72 divisors (see below), whose sum is σ = 97282836. Its totient is φ = 13655040.

The previous prime is 36992797. The next prime is 36992803. The reversal of 36992800 is 829963.

It is an interprime number because it is at equal distance from previous prime (36992797) and next prime (36992803).

It can be written as a sum of positive squares in 6 ways, for example, as 1993744 + 34999056 = 1412^2 + 5916^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36992800.

It is not an unprimeable number, because it can be changed into a prime (36992803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8622 + ... + 12178.

Almost surely, 2^36992800 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 36992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48641418).

36992800 is an abundant number, since it is smaller than the sum of its proper divisors (60290036).

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

36992800 is a wasteful number, since it uses less digits than its factorization.

36992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 36992800 is about 6082.1706651491. The cubic root of 36992800 is about 333.2005693504.

It can be divided in two parts, 36992 and 800, that multiplied together give a square (29593600 = 5440²).

The spelling of 36992800 in words is "thirty-six million, nine hundred ninety-two thousand, eight hundred".