3984949248000 has 608 divisors, whose sum is σ = 15159058157568. Its totient is φ = 910688256000.

The previous prime is 3984949247933. The next prime is 3984949248001. The reversal of 3984949248000 is 8429494893.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984949248001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688125105 + ... + 688130895.

Almost surely, 2^{3984949248000} is an apocalyptic number.

3984949248000 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 3984949248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579529078784).

3984949248000 is an abundant number, since it is smaller than the sum of its proper divisors (11174108909568).

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

3984949248000 is an frugal number, since it uses more digits than its factorization.

3984949248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 3984949248000 in words is "three trillion, nine hundred eighty-four billion, nine hundred forty-nine million, two hundred forty-eight thousand".