39996000 has 288 divisors, whose sum is σ = 156383136. Its totient is φ = 9600000.

The previous prime is 39995987. The next prime is 39996023. The reversal of 39996000 is 69993.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395950 + ... + 396050.

It is an arithmetic number, because the mean of its divisors is an integer number (542997).

Almost surely, 2^39996000 is an apocalyptic number.

39996000 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 39996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78191568).

39996000 is an abundant number, since it is smaller than the sum of its proper divisors (116387136).

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

39996000 is a wasteful number, since it uses less digits than its factorization.

39996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 39996000 is about 6324.2390846647. The cubic root of 39996000 is about 341.9837891157.

It can be divided in two parts, 3999 and 6000, that added together give a palindrome (9999).

The spelling of 39996000 in words is "thirty-nine million, nine hundred ninety-six thousand".