39629920 has 144 divisors (see below), whose sum is σ = 108591840. Its totient is φ = 13629440.

The previous prime is 39629881. The next prime is 39629939. The reversal of 39629920 is 2992693.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 445236 + ... + 445324.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^39629920 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 39629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920).

39629920 is an abundant number, since it is smaller than the sum of its proper divisors (68961920).

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

39629920 is a wasteful number, since it uses less digits than its factorization.

39629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 39629920 is about 6295.2299402008. The cubic root of 39629920 is about 340.9372066131.

The spelling of 39629920 in words is "thirty-nine million, six hundred twenty-nine thousand, nine hundred twenty".