36249984000 has 704 divisors, whose sum is σ = 142089966720. Its totient is φ = 9083289600.

The previous prime is 36249983993. The next prime is 36249984007. The reversal of 36249984000 is 48994263.

It is an interprime number because it is at equal distance from previous prime (36249983993) and next prime (36249984007).

It is a super-2 number, since 2×36249984000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36249984007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58751692 + ... + 58752308.

Almost surely, 2^36249984000 is an apocalyptic number.

36249984000 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 36249984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71044983360).

36249984000 is an abundant number, since it is smaller than the sum of its proper divisors (105839982720).

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

36249984000 is a wasteful number, since it uses less digits than its factorization.

36249984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 36249984000 in words is "thirty-six billion, two hundred forty-nine million, nine hundred eighty-four thousand".