39848000 has 112 divisors (see below), whose sum is σ = 104845104. Its totient is φ = 14950400.

The previous prime is 39847991. The next prime is 39848009. The reversal of 39848000 is 84893.

It is an interprime number because it is at equal distance from previous prime (39847991) and next prime (39848009).

It can be written as a sum of positive squares in 8 ways, for example, as 1308736 + 38539264 = 1144^2 + 6208^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39848009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135854 + ... + 136146.

It is an arithmetic number, because the mean of its divisors is an integer number (936117).

Almost surely, 2^39848000 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 39848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422552).

39848000 is an abundant number, since it is smaller than the sum of its proper divisors (64997104).

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

39848000 is a wasteful number, since it uses less digits than its factorization.

39848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 39848000 is about 6312.5272276641. The cubic root of 39848000 is about 341.5614455552.

The spelling of 39848000 in words is "thirty-nine million, eight hundred forty-eight thousand".