36390681600 has 1056 divisors, whose sum is σ = 152832884736. Its totient is φ = 7431782400.

The previous prime is 36390681583. The next prime is 36390681647. The reversal of 36390681600 is 618609363.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286540737 + ... + 286540863.

Almost surely, 2^36390681600 is an apocalyptic number.

36390681600 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 36390681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76416442368).

36390681600 is an abundant number, since it is smaller than the sum of its proper divisors (116442203136).

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

36390681600 is a wasteful number, since it uses less digits than its factorization.

36390681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 36390681600 in words is "thirty-six billion, three hundred ninety million, six hundred eighty-one thousand, six hundred".