38536960000 has 960 divisors, whose sum is σ = 132635543040. Its totient is φ = 10813440000.

The previous prime is 38536959911. The next prime is 38536960001. The reversal of 38536960000 is 6963583.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38536960001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1675519989 + ... + 1675520011.

It is an arithmetic number, because the mean of its divisors is an integer number (138162024).

Almost surely, 2^38536960000 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 38536960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66317771520).

38536960000 is an abundant number, since it is smaller than the sum of its proper divisors (94098583040).

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

38536960000 is a wasteful number, since it uses less digits than its factorization.

38536960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 38536960000 in words is "thirty-eight billion, five hundred thirty-six million, nine hundred sixty thousand".