39681984 has 112 divisors (see below), whose sum is σ = 111191040. Its totient is φ = 12472320.

The previous prime is 39681949. The next prime is 39682003. The reversal of 39681984 is 48918693.

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

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, 351112 + ... + 351224.

Almost surely, 2^39681984 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 39681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595520).

39681984 is an abundant number, since it is smaller than the sum of its proper divisors (71509056).

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

39681984 is a wasteful number, since it uses less digits than its factorization.

39681984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 39681984 is about 6299.3637773985. The cubic root of 39681984 is about 341.0864439158.

The spelling of 39681984 in words is "thirty-nine million, six hundred eighty-one thousand, nine hundred eighty-four".