36801100 has 72 divisors (see below), whose sum is σ = 96104960. Its totient is φ = 11949120.

The previous prime is 36801097. The next prime is 36801109. The reversal of 36801100 is 110863.

It is a super-2 number, since 2×36801100² = 2708641922420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (36801109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11917 + ... + 14683.

Almost surely, 2^36801100 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 36801100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48052480).

36801100 is an abundant number, since it is smaller than the sum of its proper divisors (59303860).

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

36801100 is a wasteful number, since it uses less digits than its factorization.

36801100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 36801100 is about 6066.3910193788. The cubic root of 36801100 is about 332.6240138907.

Adding to 36801100 its reverse (110863), we get a palindrome (36911963).

The spelling of 36801100 in words is "thirty-six million, eight hundred one thousand, one hundred".