38986480 has 80 divisors (see below), whose sum is σ = 102805920. Its totient is φ = 13630464.

The previous prime is 38986471. The next prime is 38986481. The reversal of 38986480 is 8468983.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 38986480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38986481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18774 + ... + 20746.

It is an arithmetic number, because the mean of its divisors is an integer number (1285074).

Almost surely, 2^38986480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51402960).

38986480 is an abundant number, since it is smaller than the sum of its proper divisors (63819440).

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

38986480 is a wasteful number, since it uses less digits than its factorization.

38986480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 38986480 is about 6243.9154382487. The cubic root of 38986480 is about 339.0819524400.

The spelling of 38986480 in words is "thirty-eight million, nine hundred eighty-six thousand, four hundred eighty".