3979418543104 has 297 divisors, whose sum is σ = 8965031744907. Its totient is φ = 1764913840128.

The previous prime is 3979418543081. The next prime is 3979418543143. The reversal of 3979418543104 is 4013458149793.

It is a happy number.

The square root of 3979418543104 is 1994848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2425365504 + 3976993177600 = 49248^2 + 1994240^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 20618748832 + ... + 20618749024.

Almost surely, 2^{3979418543104} is an apocalyptic number.

3979418543104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3979418543104 is the 1994848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3979418543104

3979418543104 is an abundant number, since it is smaller than the sum of its proper divisors (4985613201803).

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

3979418543104 is an equidigital number, since it uses as much as digits as its factorization.

3979418543104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 3979418543104 in words is "three trillion, nine hundred seventy-nine billion, four hundred eighteen million, five hundred forty-three thousand, one hundred four".