38136510720 has 1440 divisors, whose sum is σ = 180779993856. Its totient is φ = 7431782400.

The previous prime is 38136510653. The next prime is 38136510721. The reversal of 38136510720 is 2701563183.

38136510720 is a `hidden beast` number, since 3 + 8 + 136 + 510 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (38136510721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 135716980 + ... + 135717260.

Almost surely, 2^38136510720 is an apocalyptic number.

38136510720 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 38136510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90389996928).

38136510720 is an abundant number, since it is smaller than the sum of its proper divisors (142643483136).

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

38136510720 is a wasteful number, since it uses less digits than its factorization.

38136510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 38136510720 in words is "thirty-eight billion, one hundred thirty-six million, five hundred ten thousand, seven hundred twenty".