38730203136 has 288 divisors, whose sum is σ = 122138125200. Its totient is φ = 12230590464.

The previous prime is 38730203123. The next prime is 38730203137. The reversal of 38730203136 is 63130203783.

It is a happy number.

38730203136 is a `hidden beast` number, since 38 + 7 + 302 + 0 + 313 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38730203136.

It is not an unprimeable number, because it can be changed into a prime (38730203137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2038431735 + ... + 2038431753.

Almost surely, 2^38730203136 is an apocalyptic number.

38730203136 is a gapful number since it is divisible by the number (36) 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 38730203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61069062600).

38730203136 is an abundant number, since it is smaller than the sum of its proper divisors (83407922064).

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

38730203136 is an frugal number, since it uses more digits than its factorization.

38730203136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 38730203136 in words is "thirty-eight billion, seven hundred thirty million, two hundred three thousand, one hundred thirty-six".