3855667200 has 624 divisors, whose sum is σ = 15990928896. Its totient is φ = 796262400.

The previous prime is 3855667181. The next prime is 3855667217. The reversal of 3855667200 is 27665583.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23654319 + ... + 23654481.

Almost surely, 2^3855667200 is an apocalyptic number.

3855667200 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 3855667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995464448).

3855667200 is an abundant number, since it is smaller than the sum of its proper divisors (12135261696).

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

3855667200 is a wasteful number, since it uses less digits than its factorization.

3855667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 3855667200 is about 62094.0190356527. The cubic root of 3855667200 is about 1568.0738546360.

The spelling of 3855667200 in words is "three billion, eight hundred fifty-five million, six hundred sixty-seven thousand, two hundred".