39396672 has 112 divisors (see below), whose sum is σ = 132405120. Its totient is φ = 11252736.

The previous prime is 39396619. The next prime is 39396673. The reversal of 39396672 is 27669393.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39396673) 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, 10468 + ... + 13724.

Almost surely, 2^39396672 is an apocalyptic number.

39396672 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 39396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66202560).

39396672 is an abundant number, since it is smaller than the sum of its proper divisors (93008448).

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

39396672 is a wasteful number, since it uses less digits than its factorization.

39396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3269 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 39396672 is about 6276.6768277489. The cubic root of 39396672 is about 340.2670105549.

The spelling of 39396672 in words is "thirty-nine million, three hundred ninety-six thousand, six hundred seventy-two".