381213630 has 192 divisors, whose sum is σ = 1182729600. Its totient is φ = 85123584.

The previous prime is 381213617. The next prime is 381213647. The reversal of 381213630 is 36312183.

It is a happy number.

381213630 is a `hidden beast` number, since 3 + 8 + 1 + 21 + 3 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 381213594 and 381213603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1635994 + ... + 1636226.

It is an arithmetic number, because the mean of its divisors is an integer number (6160050).

Almost surely, 2^381213630 is an apocalyptic number.

381213630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381213630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591364800).

381213630 is an abundant number, since it is smaller than the sum of its proper divisors (801515970).

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

381213630 is a wasteful number, since it uses less digits than its factorization.

381213630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 381213630 is about 19524.6928272892. The cubic root of 381213630 is about 725.0859224365.

The spelling of 381213630 in words is "three hundred eighty-one million, two hundred thirteen thousand, six hundred thirty".