38625136000 has 384 divisors, whose sum is σ = 107423184960. Its totient is φ = 13798400000.

The previous prime is 38625135973. The next prime is 38625136007. The reversal of 38625136000 is 63152683.

38625136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38625136000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38625136007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137455860 + ... + 137456140.

Almost surely, 2^38625136000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38625136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53711592480).

38625136000 is an abundant number, since it is smaller than the sum of its proper divisors (68798048960).

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

38625136000 is a wasteful number, since it uses less digits than its factorization.

38625136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 38625136000 its reverse (63152683), we get a palindrome (38688288683).

The spelling of 38625136000 in words is "thirty-eight billion, six hundred twenty-five million, one hundred thirty-six thousand".