39364920 has 256 divisors, whose sum is σ = 154828800. Its totient is φ = 8709120.

The previous prime is 39364907. The next prime is 39364921. The reversal of 39364920 is 2946393.

It is a happy number.

39364920 is a `hidden beast` number, since 3 + 9 + 3 + 649 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39364921) 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 63 ways as a sum of consecutive naturals, for example, 309897 + ... + 310023.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^39364920 is an apocalyptic number.

39364920 is a gapful number since it is divisible by the number (30) 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 39364920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

39364920 is an abundant number, since it is smaller than the sum of its proper divisors (115463880).

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

39364920 is a wasteful number, since it uses less digits than its factorization.

39364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 39364920 is about 6274.1469539691. The cubic root of 39364920 is about 340.1755725270.

The spelling of 39364920 in words is "thirty-nine million, three hundred sixty-four thousand, nine hundred twenty".