39849984000 has 768 divisors, whose sum is σ = 153106536960. Its totient is φ = 9948364800.

The previous prime is 39849983939. The next prime is 39849984037. The reversal of 39849984000 is 48994893.

It is a tau number, because it is divible by the number of its divisors (768).

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, 847871977 + ... + 847872023.

It is an arithmetic number, because the mean of its divisors is an integer number (199357470).

Almost surely, 2^39849984000 is an apocalyptic number.

39849984000 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 39849984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76553268480).

39849984000 is an abundant number, since it is smaller than the sum of its proper divisors (113256552960).

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

39849984000 is an equidigital number, since it uses as much as digits as its factorization.

39849984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 39849984000 in words is "thirty-nine billion, eight hundred forty-nine million, nine hundred eighty-four thousand".