38890368000 has 1320 divisors, whose sum is σ = 164448316032. Its totient is φ = 9123840000.

The previous prime is 38890367977. The next prime is 38890368007. The reversal of 38890368000 is 86309883.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38890368007) 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 119 ways as a sum of consecutive naturals, for example, 1254527985 + ... + 1254528015.

Almost surely, 2^38890368000 is an apocalyptic number.

38890368000 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 38890368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82224158016).

38890368000 is an abundant number, since it is smaller than the sum of its proper divisors (125557948032).

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

38890368000 is a wasteful number, since it uses less digits than its factorization.

38890368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38890368000 in words is "thirty-eight billion, eight hundred ninety million, three hundred sixty-eight thousand".