381660048 has 120 divisors (see below), whose sum is σ = 1331718336. Its totient is φ = 99129600.

The previous prime is 381660043. The next prime is 381660053. The reversal of 381660048 is 840066183.

It is a happy number.

381660048 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 600 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (381660043) and next prime (381660053).

It is a super-3 number, since 3×381660048³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 381659994 and 381660021.

It is not an unprimeable number, because it can be changed into a prime (381660043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6123 + ... + 28298.

Almost surely, 2^381660048 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 381660048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665859168).

381660048 is an abundant number, since it is smaller than the sum of its proper divisors (950058288).

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

381660048 is a wasteful number, since it uses less digits than its factorization.

381660048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34453 (or 34444 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 381660048 is about 19536.1216212430. The cubic root of 381660048 is about 725.3688479072.

The spelling of 381660048 in words is "three hundred eighty-one million, six hundred sixty thousand, forty-eight".