381278016 has 420 divisors, whose sum is σ = 1401470400. Its totient is φ = 101896704.

The previous prime is 381278011. The next prime is 381278017. The reversal of 381278016 is 610872183.

381278016 is a `hidden beast` number, since 381 + 278 + 0 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381278011) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4826265 + ... + 4826343.

Almost surely, 2^381278016 is an apocalyptic number.

381278016 is a gapful number since it is divisible by the number (36) 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 381278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700735200).

381278016 is an abundant number, since it is smaller than the sum of its proper divisors (1020192384).

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

381278016 is a wasteful number, since it uses less digits than its factorization.

381278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 381278016 is about 19526.3415928330. The cubic root of 381278016 is about 725.1267418533.

The spelling of 381278016 in words is "three hundred eighty-one million, two hundred seventy-eight thousand, sixteen".