39412164 has 48 divisors (see below), whose sum is σ = 101154816. Its totient is φ = 11844000.

The previous prime is 39412159. The next prime is 39412169. The reversal of 39412164 is 46121493.

It is an interprime number because it is at equal distance from previous prime (39412159) and next prime (39412169).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (39412169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15589 + ... + 17939.

It is an arithmetic number, because the mean of its divisors is an integer number (2107392).

Almost surely, 2^39412164 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 39412164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50577408).

39412164 is an abundant number, since it is smaller than the sum of its proper divisors (61742652).

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

39412164 is a wasteful number, since it uses less digits than its factorization.

39412164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2494 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 39412164 is about 6277.9107989840. The cubic root of 39412164 is about 340.3116059098.

It can be divided in two parts, 3941 and 2164, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 39412164 in words is "thirty-nine million, four hundred twelve thousand, one hundred sixty-four".