38890137000 has 512 divisors, whose sum is σ = 143504524800. Its totient is φ = 8644608000.

The previous prime is 38890136993. The next prime is 38890137001. The reversal of 38890137000 is 73109883.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 38890137000.

It is not an unprimeable number, because it can be changed into a prime (38890137001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115400832 + ... + 115401168.

It is an arithmetic number, because the mean of its divisors is an integer number (280282275).

Almost surely, 2^38890137000 is an apocalyptic number.

38890137000 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 38890137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71752262400).

38890137000 is an abundant number, since it is smaller than the sum of its proper divisors (104614387800).

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

38890137000 is a wasteful number, since it uses less digits than its factorization.

38890137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 38890137000 in words is "thirty-eight billion, eight hundred ninety million, one hundred thirty-seven thousand".