381456936 has 96 divisors (see below), whose sum is σ = 1183728000. Its totient is φ = 108708480.

The previous prime is 381456917. The next prime is 381456941. The reversal of 381456936 is 639654183.

381456936 is a `hidden beast` number, since 3 + 81 + 4 + 569 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 381456891 and 381456900.

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 23 ways as a sum of consecutive naturals, for example, 271965 + ... + 273363.

It is an arithmetic number, because the mean of its divisors is an integer number (12330500).

Almost surely, 2^381456936 is an apocalyptic number.

381456936 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 381456936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591864000).

381456936 is an abundant number, since it is smaller than the sum of its proper divisors (802271064).

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

381456936 is a wasteful number, since it uses less digits than its factorization.

381456936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1952 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 381456936 is about 19530.9225588552. The cubic root of 381456936 is about 725.2401493778.

The spelling of 381456936 in words is "three hundred eighty-one million, four hundred fifty-six thousand, nine hundred thirty-six".