381211200 has 252 divisors, whose sum is σ = 1415052288. Its totient is φ = 97152000.

The previous prime is 381211169. The next prime is 381211273. The reversal of 381211200 is 2112183.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330625 + ... + 331775.

Almost surely, 2^381211200 is an apocalyptic number.

381211200 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 381211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707526144).

381211200 is an abundant number, since it is smaller than the sum of its proper divisors (1033841088).

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

381211200 is a wasteful number, since it uses less digits than its factorization.

381211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 381211200 is about 19524.6305982981. The cubic root of 381211200 is about 725.0843817758.

Adding to 381211200 its reverse (2112183), we get a palindrome (383323383).

The spelling of 381211200 in words is "three hundred eighty-one million, two hundred eleven thousand, two hundred".