381234000 has 320 divisors, whose sum is σ = 1457763840. Its totient is φ = 83865600.

The previous prime is 381233927. The next prime is 381234011. The reversal of 381234000 is 432183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217844 + ... + 1218156.

It is an arithmetic number, because the mean of its divisors is an integer number (4555512).

Almost surely, 2^381234000 is an apocalyptic number.

381234000 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 381234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728881920).

381234000 is an abundant number, since it is smaller than the sum of its proper divisors (1076529840).

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

381234000 is a wasteful number, since it uses less digits than its factorization.

381234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 381234000 is about 19525.2144674521. The cubic root of 381234000 is about 725.0988370999.

Adding to 381234000 its reverse (432183), we get a palindrome (381666183).

The spelling of 381234000 in words is "three hundred eighty-one million, two hundred thirty-four thousand".