39384072 has 96 divisors (see below), whose sum is σ = 131302080. Its totient is φ = 10385280.

The previous prime is 39384061. The next prime is 39384077. The reversal of 39384072 is 27048393.

It is a super-2 number, since 2×39384072² = 3102210254602368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (39384077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3547 + ... + 9557.

It is an arithmetic number, because the mean of its divisors is an integer number (1367730).

Almost surely, 2^39384072 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 39384072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65651040).

39384072 is an abundant number, since it is smaller than the sum of its proper divisors (91918008).

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

39384072 is a wasteful number, since it uses less digits than its factorization.

39384072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 39384072 is about 6275.6730316357. The cubic root of 39384072 is about 340.2307315050.

The spelling of 39384072 in words is "thirty-nine million, three hundred eighty-four thousand, seventy-two".