36073800 has 216 divisors, whose sum is σ = 141271650. Its totient is φ = 8225280.

The previous prime is 36073789. The next prime is 36073811. The reversal of 36073800 is 837063.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36073789) and next prime (36073811).

It can be written as a sum of positive squares in 3 ways, for example, as 33108516 + 2965284 = 5754^2 + 1722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87996 + ... + 88404.

Almost surely, 2^36073800 is an apocalyptic number.

36073800 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 36073800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70635825).

36073800 is an abundant number, since it is smaller than the sum of its proper divisors (105197850).

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

36073800 is a wasteful number, since it uses less digits than its factorization.

36073800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36073800 is about 6006.1468513515. The cubic root of 36073800 is about 330.4182025785.

The spelling of 36073800 in words is "thirty-six million, seventy-three thousand, eight hundred".