39768444 has 72 divisors (see below), whose sum is σ = 107911440. Its totient is φ = 12310272.

The previous prime is 39768427. The next prime is 39768461. The reversal of 39768444 is 44486793.

It is an interprime number because it is at equal distance from previous prime (39768427) and next prime (39768461).

It is a super-2 number, since 2×39768444² = 3163058276362272, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 39768444.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 341.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35704 + ... + 36800.

It is an arithmetic number, because the mean of its divisors is an integer number (1498770).

Almost surely, 2^39768444 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 39768444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53955720).

39768444 is an abundant number, since it is smaller than the sum of its proper divisors (68142996).

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

39768444 is a wasteful number, since it uses less digits than its factorization.

39768444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1174 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 39768444 is about 6306.2226411696. Note that the first 3 decimals coincide. The cubic root of 39768444 is about 341.3339864930. Note that the first 3 decimals are identical.

The spelling of 39768444 in words is "thirty-nine million, seven hundred sixty-eight thousand, four hundred forty-four".