36382348800 has 840 divisors, whose sum is σ = 154732547376. Its totient is φ = 8301035520.

The previous prime is 36382348799. The next prime is 36382348811. The reversal of 36382348800 is 884328363.

36382348800 is a `hidden beast` number, since 3 + 638 + 2 + 3 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×36382348800² (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 an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 65318122 + ... + 65318678.

Almost surely, 2^36382348800 is an apocalyptic number.

36382348800 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 36382348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77366273688).

36382348800 is an abundant number, since it is smaller than the sum of its proper divisors (118350198576).

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

36382348800 is an frugal number, since it uses more digits than its factorization.

36382348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 36382348800 in words is "thirty-six billion, three hundred eighty-two million, three hundred forty-eight thousand, eight hundred".