36825843600 has 540 divisors, whose sum is σ = 158169775296. Its totient is φ = 7768949760.

The previous prime is 36825843599. The next prime is 36825843631. The reversal of 36825843600 is 634852863.

It is a happy number.

36825843600 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 584 + 3 + 60 + 0 = 666.

36825843600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36825843600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4254477 + ... + 4263123.

Almost surely, 2^36825843600 is an apocalyptic number.

36825843600 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 36825843600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79084887648).

36825843600 is an abundant number, since it is smaller than the sum of its proper divisors (121343931696).

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

36825843600 is a wasteful number, since it uses less digits than its factorization.

36825843600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 36825843600 in words is "thirty-six billion, eight hundred twenty-five million, eight hundred forty-three thousand, six hundred".