39387816 has 128 divisors (see below), whose sum is σ = 119952000. Its totient is φ = 11973312.

The previous prime is 39387811. The next prime is 39387823. The reversal of 39387816 is 61878393.

It is a happy number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (39387811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474511 + ... + 474593.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 2^39387816 is an apocalyptic number.

39387816 is a gapful number since it is divisible by the number (36) 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 39387816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976000).

39387816 is an abundant number, since it is smaller than the sum of its proper divisors (80564184).

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

39387816 is a wasteful number, since it uses less digits than its factorization.

39387816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 39387816 is about 6275.9713192461. The cubic root of 39387816 is about 340.2415123735.

It can be divided in two parts, 393 and 87816, that added together give a square (88209 = 297²).

The spelling of 39387816 in words is "thirty-nine million, three hundred eighty-seven thousand, eight hundred sixteen".