36475200 has 252 divisors, whose sum is σ = 138188700. Its totient is φ = 9093120.

The previous prime is 36475181. The next prime is 36475211. The reversal of 36475200 is 257463.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1617984 + 34857216 = 1272^2 + 5904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244726 + ... + 244874.

Almost surely, 2^36475200 is an apocalyptic number.

36475200 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 36475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69094350).

36475200 is an abundant number, since it is smaller than the sum of its proper divisors (101713500).

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

36475200 is a wasteful number, since it uses less digits than its factorization.

36475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 36475200 is about 6039.4701754376. The cubic root of 36475200 is about 331.6392268178.

The spelling of 36475200 in words is "thirty-six million, four hundred seventy-five thousand, two hundred".