3944806297600 has 312 divisors, whose sum is σ = 11199167422688. Its totient is φ = 1350107136000.

The previous prime is 3944806297489. The next prime is 3944806297633. The reversal of 3944806297600 is 67926084493.

It is a happy number.

It is a super-2 number, since 2×3944806297600² (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 430792222 + ... + 430801378.

Almost surely, 2^{3944806297600} 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 3944806297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599583711344).

3944806297600 is an abundant number, since it is smaller than the sum of its proper divisors (7254361125088).

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

3944806297600 is an equidigital number, since it uses as much as digits as its factorization.

3944806297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9799 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 3944806297600 in words is "three trillion, nine hundred forty-four billion, eight hundred six million, two hundred ninety-seven thousand, six hundred".