39393120 has 192 divisors, whose sum is σ = 137168640. Its totient is φ = 9443328.

The previous prime is 39393059. The next prime is 39393127. The reversal of 39393120 is 2139393.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39393127) 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 31 ways as a sum of consecutive naturals, for example, 368107 + ... + 368213.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 2^39393120 is an apocalyptic number.

39393120 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 39393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

39393120 is an abundant number, since it is smaller than the sum of its proper divisors (97775520).

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

39393120 is a wasteful number, since it uses less digits than its factorization.

39393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 39393120 is about 6276.3938690939. The cubic root of 39393120 is about 340.2567841010.

The spelling of 39393120 in words is "thirty-nine million, three hundred ninety-three thousand, one hundred twenty".