38689136640 has 1344 divisors, whose sum is σ = 176653301760. Its totient is φ = 7596933120.

The previous prime is 38689136627. The next prime is 38689136711. The reversal of 38689136640 is 4663198683.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823173097 + ... + 823173143.

Almost surely, 2^38689136640 is an apocalyptic number.

38689136640 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 38689136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88326650880).

38689136640 is an abundant number, since it is smaller than the sum of its proper divisors (137964165120).

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

38689136640 is a wasteful number, since it uses less digits than its factorization.

38689136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38689136640 in words is "thirty-eight billion, six hundred eighty-nine million, one hundred thirty-six thousand, six hundred forty".