3979406620800 has 1920 divisors, whose sum is σ = 16907457853440. Its totient is φ = 912994467840.

The previous prime is 3979406620793. The next prime is 3979406620831. The reversal of 3979406620800 is 80266049793.

It is a happy number.

3979406620800 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 4 + 0 + 6 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 7274966127 + ... + 7274966673.

It is an arithmetic number, because the mean of its divisors is an integer number (8805967632).

Almost surely, 2^{3979406620800} is an apocalyptic number.

3979406620800 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 3979406620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453728926720).

3979406620800 is an abundant number, since it is smaller than the sum of its proper divisors (12928051232640).

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

3979406620800 is a wasteful number, since it uses less digits than its factorization.

3979406620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3979406620800 in words is "three trillion, nine hundred seventy-nine billion, four hundred six million, six hundred twenty thousand, eight hundred".