38971680 has 192 divisors, whose sum is σ = 137241216. Its totient is φ = 9292800.

The previous prime is 38971651. The next prime is 38971711. The reversal of 38971680 is 8617983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638850 + ... + 638910.

It is an arithmetic number, because the mean of its divisors is an integer number (714798).

Almost surely, 2^38971680 is an apocalyptic number.

38971680 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 38971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68620608).

38971680 is an abundant number, since it is smaller than the sum of its proper divisors (98269536).

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

38971680 is a wasteful number, since it uses less digits than its factorization.

38971680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 38971680 is about 6242.7301719680. The cubic root of 38971680 is about 339.0390397169.

The spelling of 38971680 in words is "thirty-eight million, nine hundred seventy-one thousand, six hundred eighty".