381623040 has 216 divisors, whose sum is σ = 1335083568. Its totient is φ = 100638720.

The previous prime is 381623029. The next prime is 381623063. The reversal of 381623040 is 40326183.

It is a happy number.

381623040 is a `hidden beast` number, since 38 + 1 + 623 + 0 + 4 + 0 = 666.

381623040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×381623040² = 291272289317683200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 381622995 and 381623013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1808535 + ... + 1808745.

Almost surely, 2^381623040 is an apocalyptic number.

381623040 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 381623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667541784).

381623040 is an abundant number, since it is smaller than the sum of its proper divisors (953460528).

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

381623040 is a wasteful number, since it uses less digits than its factorization.

381623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 381623040 is about 19535.1744297306. The cubic root of 381623040 is about 725.3454018080.

The spelling of 381623040 in words is "three hundred eighty-one million, six hundred twenty-three thousand, forty".