36689800 has 96 divisors (see below), whose sum is σ = 99100800. Its totient is φ = 12372480.

The previous prime is 36689797. The next prime is 36689813. The reversal of 36689800 is 898663.

It is a super-2 number, since 2×36689800² = 2692282848080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102021 + ... + 102379.

It is an arithmetic number, because the mean of its divisors is an integer number (1032300).

Almost surely, 2^36689800 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 36689800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49550400).

36689800 is an abundant number, since it is smaller than the sum of its proper divisors (62411000).

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

36689800 is a wasteful number, since it uses less digits than its factorization.

36689800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 36689800 is about 6057.2105791362. The cubic root of 36689800 is about 332.2883496730.

The spelling of 36689800 in words is "thirty-six million, six hundred eighty-nine thousand, eight hundred".