3944553398100 has 720 divisors, whose sum is σ = 15030985594240. Its totient is φ = 875919744000.

The previous prime is 3944553398083. The next prime is 3944553398101. The reversal of 3944553398100 is 18933554493.

3944553398100 is a `hidden beast` number, since 3 + 9 + 4 + 4 + 5 + 533 + 98 + 10 + 0 = 666.

It is a super-2 number, since 2×3944553398100² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944553398101) 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 239 ways as a sum of consecutive naturals, for example, 2204892006 + ... + 2204893794.

Almost surely, 2^{3944553398100} is an apocalyptic number.

3944553398100 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 3944553398100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515492797120).

3944553398100 is an abundant number, since it is smaller than the sum of its proper divisors (11086432196140).

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

3944553398100 is a wasteful number, since it uses less digits than its factorization.

3944553398100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 3944553398100 in words is "three trillion, nine hundred forty-four billion, five hundred fifty-three million, three hundred ninety-eight thousand, one hundred".