381024120 has 64 divisors (see below), whose sum is σ = 1144836000. Its totient is φ = 101449728.

The previous prime is 381024101. The next prime is 381024121. The reversal of 381024120 is 21420183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381024121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90216 + ... + 94344.

Almost surely, 2^381024120 is an apocalyptic number.

381024120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381024120 is an abundant number, since it is smaller than the sum of its proper divisors (763811880).

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

381024120 is a wasteful number, since it uses less digits than its factorization.

381024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 381024120 is about 19519.8391386814. The cubic root of 381024120 is about 724.9657502647.

The spelling of 381024120 in words is "three hundred eighty-one million, twenty-four thousand, one hundred twenty".