36481881600 has 720 divisors, whose sum is σ = 139492040688. Its totient is φ = 9435709440.

The previous prime is 36481881577. The next prime is 36481881671. The reversal of 36481881600 is 618818463.

It is a happy number.

36481881600 is a `hidden beast` number, since 3 + 6 + 481 + 8 + 8 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115084642 + ... + 115084958.

Almost surely, 2^36481881600 is an apocalyptic number.

36481881600 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 36481881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69746020344).

36481881600 is an abundant number, since it is smaller than the sum of its proper divisors (103010159088).

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

36481881600 is an equidigital number, since it uses as much as digits as its factorization.

36481881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 36481881600 in words is "thirty-six billion, four hundred eighty-one million, eight hundred eighty-one thousand, six hundred".