381704326920 has 384 divisors, whose sum is σ = 1461432211200. Its totient is φ = 84576503808.

The previous prime is 381704326919. The next prime is 381704326937. The reversal of 381704326920 is 29623407183.

381704326920 is a `hidden beast` number, since 381 + 7 + 0 + 4 + 3 + 269 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25820091 + ... + 25834869.

It is an arithmetic number, because the mean of its divisors is an integer number (3805813050).

Almost surely, 2^381704326920 is an apocalyptic number.

381704326920 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 381704326920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730716105600).

381704326920 is an abundant number, since it is smaller than the sum of its proper divisors (1079727884280).

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

381704326920 is a wasteful number, since it uses less digits than its factorization.

381704326920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117 (or 15110 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 381704326920 in words is "three hundred eighty-one billion, seven hundred four million, three hundred twenty-six thousand, nine hundred twenty".