381810624 has 224 divisors, whose sum is σ = 1170919680. Its totient is φ = 108822528.

The previous prime is 381810617. The next prime is 381810629. The reversal of 381810624 is 426018183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381810629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3936144 + ... + 3936240.

It is an arithmetic number, because the mean of its divisors is an integer number (5227320).

Almost surely, 2^381810624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381810624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585459840).

381810624 is an abundant number, since it is smaller than the sum of its proper divisors (789109056).

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

381810624 is a wasteful number, since it uses less digits than its factorization.

381810624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 381810624 is about 19539.9750255726. The cubic root of 381810624 is about 725.4642284075.

The spelling of 381810624 in words is "three hundred eighty-one million, eight hundred ten thousand, six hundred twenty-four".