39938976 has 144 divisors (see below), whose sum is σ = 141680448. Its totient is φ = 10368000.

The previous prime is 39938963. The next prime is 39938981. The reversal of 39938976 is 67983993.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21276 + ... + 23076.

It is an arithmetic number, because the mean of its divisors is an integer number (983892).

Almost surely, 2^39938976 is an apocalyptic number.

39938976 is a gapful number since it is divisible by the number (36) 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 39938976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70840224).

39938976 is an abundant number, since it is smaller than the sum of its proper divisors (101741472).

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

39938976 is a wasteful number, since it uses less digits than its factorization.

39938976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1824 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 39938976 is about 6319.7291081185. The cubic root of 39938976 is about 341.8211848646.

The spelling of 39938976 in words is "thirty-nine million, nine hundred thirty-eight thousand, nine hundred seventy-six".