38638501680 has 320 divisors, whose sum is σ = 134127415296. Its totient is φ = 9154560000.

The previous prime is 38638501651. The next prime is 38638501729. The reversal of 38638501680 is 8610583683.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5181955 + ... + 5189405.

Almost surely, 2^38638501680 is an apocalyptic number.

38638501680 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 38638501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67063707648).

38638501680 is an abundant number, since it is smaller than the sum of its proper divisors (95488913616).

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

38638501680 is a wasteful number, since it uses less digits than its factorization.

38638501680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 38638501680 in words is "thirty-eight billion, six hundred thirty-eight million, five hundred one thousand, six hundred eighty".