381213600 has 144 divisors (see below), whose sum is σ = 1248795072. Its totient is φ = 101007360.

The previous prime is 381213571. The next prime is 381213601. The reversal of 381213600 is 6312183.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (381213601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462789 + ... + 463611.

It is an arithmetic number, because the mean of its divisors is an integer number (8672188).

Almost surely, 2^381213600 is an apocalyptic number.

381213600 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 381213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624397536).

381213600 is an abundant number, since it is smaller than the sum of its proper divisors (867581472).

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

381213600 is a wasteful number, since it uses less digits than its factorization.

381213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 381213600 is about 19524.6920590313. The cubic root of 381213600 is about 725.0859034160.

Adding to 381213600 its reverse (6312183), we get a palindrome (387525783).

The spelling of 381213600 in words is "three hundred eighty-one million, two hundred thirteen thousand, six hundred".