3884226393600 has 2400 divisors, whose sum is σ = 17282397665280. Its totient is φ = 853493760000.

The previous prime is 3884226393581. The next prime is 3884226393601. The reversal of 3884226393600 is 63936224883.

3884226393600 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 2 + 26 + 3 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 (3884226393601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25723353525 + ... + 25723353675.

Almost surely, 2^{3884226393600} is an apocalyptic number.

3884226393600 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 3884226393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8641198832640).

3884226393600 is an abundant number, since it is smaller than the sum of its proper divisors (13398171271680).

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

3884226393600 is an equidigital number, since it uses as much as digits as its factorization.

3884226393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3884226393600 in words is "three trillion, eight hundred eighty-four billion, two hundred twenty-six million, three hundred ninety-three thousand, six hundred".