3855666355200 has 1650 divisors, whose sum is σ = 15828348567680. Its totient is φ = 927347097600.

The previous prime is 3855666355183. The next prime is 3855666355201. The reversal of 3855666355200 is 25536665583.

It is a tau number, because it is divible by the number of its divisors (1650).

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 (3855666355201) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 30359577537 + ... + 30359577663.

Almost surely, 2^{3855666355200} is an apocalyptic number.

3855666355200 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 3855666355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914174283840).

3855666355200 is an abundant number, since it is smaller than the sum of its proper divisors (11972682212480).

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

3855666355200 is an equidigital number, since it uses as much as digits as its factorization.

3855666355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 3855666355200 in words is "three trillion, eight hundred fifty-five billion, six hundred sixty-six million, three hundred fifty-five thousand, two hundred".