3944221357000 has 512 divisors, whose sum is σ = 10477569024000. Its totient is φ = 1381847040000.

The previous prime is 3944221356997. The next prime is 3944221357039. The reversal of 3944221357000 is 7531224493.

It is a super-2 number, since 2×3944221357000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6250746685 + ... + 6250747315.

It is an arithmetic number, because the mean of its divisors is an integer number (20464002000).

Almost surely, 2^{3944221357000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3944221357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238784512000).

3944221357000 is an abundant number, since it is smaller than the sum of its proper divisors (6533347667000).

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

3944221357000 is a wasteful number, since it uses less digits than its factorization.

3944221357000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 3944221357000 in words is "three trillion, nine hundred forty-four billion, two hundred twenty-one million, three hundred fifty-seven thousand".