38085984 has 96 divisors (see below), whose sum is σ = 117663840. Its totient is φ = 11943936.

The previous prime is 38085977. The next prime is 38085991. The reversal of 38085984 is 48958083.

It is an interprime number because it is at equal distance from previous prime (38085977) and next prime (38085991).

It is a tau number, because it is divible by the number of its divisors (96).

38085984 is a modest number, since divided by 5984 gives 3808 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13392 + ... + 15984.

It is an arithmetic number, because the mean of its divisors is an integer number (1225665).

Almost surely, 2^38085984 is an apocalyptic number.

38085984 is a gapful number since it is divisible by the number (34) 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 38085984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58831920).

38085984 is an abundant number, since it is smaller than the sum of its proper divisors (79577856).

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

38085984 is a wasteful number, since it uses less digits than its factorization.

38085984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 38085984 is about 6171.3842855554. The cubic root of 38085984 is about 336.4509251822.

The spelling of 38085984 in words is "thirty-eight million, eighty-five thousand, nine hundred eighty-four".