36825600 has 240 divisors, whose sum is σ = 140044608. Its totient is φ = 8355840.

The previous prime is 36825557. The next prime is 36825611. The reversal of 36825600 is 652863.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×36825600² = 2712249630720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 268732 + ... + 268868.

Almost surely, 2^36825600 is an apocalyptic number.

36825600 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 36825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70022304).

36825600 is an abundant number, since it is smaller than the sum of its proper divisors (103219008).

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

36825600 is a wasteful number, since it uses less digits than its factorization.

36825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 36825600 is about 6068.4100059241. The cubic root of 36825600 is about 332.6978113276.

It can be divided in two parts, 3 and 6825600, that multiplied together give a triangular number (20476800 = T₆₃₉₉).

The spelling of 36825600 in words is "thirty-six million, eight hundred twenty-five thousand, six hundred".