36838800 has 180 divisors, whose sum is σ = 132925520. Its totient is φ = 9797760.

The previous prime is 36838799. The next prime is 36838807. The reversal of 36838800 is 883863.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36838807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97011 + ... + 97389.

Almost surely, 2^36838800 is an apocalyptic number.

36838800 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 36838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66462760).

36838800 is an abundant number, since it is smaller than the sum of its proper divisors (96086720).

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

36838800 is a wasteful number, since it uses less digits than its factorization.

36838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36838800 is about 6069.4975080315. The cubic root of 36838800 is about 332.7375580119.

The spelling of 36838800 in words is "thirty-six million, eight hundred thirty-eight thousand, eight hundred".