3979723900800 has 384 divisors, whose sum is σ = 13218672700800. Its totient is φ = 1052336332800.

The previous prime is 3979723900739. The next prime is 3979723900813. The reversal of 3979723900800 is 80093279793.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650651595 + ... + 1650654005.

It is an arithmetic number, because the mean of its divisors is an integer number (34423626825).

Almost surely, 2^{3979723900800} is an apocalyptic number.

3979723900800 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 3979723900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609336350400).

3979723900800 is an abundant number, since it is smaller than the sum of its proper divisors (9238948800000).

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

3979723900800 is a wasteful number, since it uses less digits than its factorization.

3979723900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 57.

The spelling of 3979723900800 in words is "three trillion, nine hundred seventy-nine billion, seven hundred twenty-three million, nine hundred thousand, eight hundred".