381302820 has 36 divisors (see below), whose sum is σ = 1156619100. Its totient is φ = 101680704.

The previous prime is 381302791. The next prime is 381302833. The reversal of 381302820 is 28203183.

381302820 is a `hidden beast` number, since 381 + 3 + 0 + 282 + 0 = 666.

381302820 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 261662976 + 119639844 = 16176^2 + 10938^2 .

It is a tau number, because it is divible by the number of its divisors (36).

381302820 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1058995 + ... + 1059354.

Almost surely, 2^381302820 is an apocalyptic number.

381302820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381302820 is an abundant number, since it is smaller than the sum of its proper divisors (775316280).

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

381302820 is a wasteful number, since it uses less digits than its factorization.

381302820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118364 (or 2118359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 381302820 is about 19526.9767245214. The cubic root of 381302820 is about 725.1424658595.

The spelling of 381302820 in words is "three hundred eighty-one million, three hundred two thousand, eight hundred twenty".