36806400 has 270 divisors, whose sum is σ = 138006792. Its totient is φ = 9676800.

The previous prime is 36806387. The next prime is 36806437. The reversal of 36806400 is 460863.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×36806400² = 2709422161920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518365 + ... + 518435.

Almost surely, 2^36806400 is an apocalyptic number.

36806400 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 36806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69003396).

36806400 is an abundant number, since it is smaller than the sum of its proper divisors (101200392).

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

36806400 is an equidigital number, since it uses as much as digits as its factorization.

36806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36806400 is about 6066.8278366870. The cubic root of 36806400 is about 332.6399810099.

The spelling of 36806400 in words is "thirty-six million, eight hundred six thousand, four hundred".