39964672 has 52 divisors (see below), whose sum is σ = 87283296. Its totient is φ = 18145280.

The previous prime is 39964643. The next prime is 39964747. The reversal of 39964672 is 27646993.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44613 + ... + 45499.

Almost surely, 2^39964672 is an apocalyptic number.

39964672 is a gapful number since it is divisible by the number (32) 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 39964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43641648).

39964672 is an abundant number, since it is smaller than the sum of its proper divisors (47318624).

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

39964672 is an equidigital number, since it uses as much as digits as its factorization.

39964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 900 counting only the distinct ones).

The product of its digits is 489888, while the sum is 46.

The square root of 39964672 is about 6321.7617797573. The cubic root of 39964672 is about 341.8944762959.

It can be divided in two parts, 3996 and 4672, that added together give a palindrome (8668).

The spelling of 39964672 in words is "thirty-nine million, nine hundred sixty-four thousand, six hundred seventy-two".