3979222056000 has 336 divisors, whose sum is σ = 14274083191680. Its totient is φ = 1058163225600.

The previous prime is 3979222055971. The next prime is 3979222056001. The reversal of 3979222056000 is 6502229793.

It is a happy number.

3979222056000 is a `hidden beast` number, since 39 + 7 + 9 + 2 + 2 + 2 + 0 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3979222056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25771027 + ... + 25924973.

Almost surely, 2^{3979222056000} is an apocalyptic number.

3979222056000 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 3979222056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137041595840).

3979222056000 is an abundant number, since it is smaller than the sum of its proper divisors (10294861135680).

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

3979222056000 is a wasteful number, since it uses less digits than its factorization.

3979222056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154339 (or 154316 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 3979222056000 in words is "three trillion, nine hundred seventy-nine billion, two hundred twenty-two million, fifty-six thousand".