381973536 has 192 divisors, whose sum is σ = 1285320960. Its totient is φ = 108103680.

The previous prime is 381973519. The next prime is 381973541. The reversal of 381973536 is 635379183.

381973536 is a `hidden beast` number, since 38 + 19 + 73 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 381973491 and 381973500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828346 + ... + 828806.

It is an arithmetic number, because the mean of its divisors is an integer number (6694380).

Almost surely, 2^381973536 is an apocalyptic number.

381973536 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 381973536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642660480).

381973536 is an abundant number, since it is smaller than the sum of its proper divisors (903347424).

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

381973536 is a wasteful number, since it uses less digits than its factorization.

381973536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 381973536 is about 19544.1432659505. The cubic root of 381973536 is about 725.5673947553.

The spelling of 381973536 in words is "three hundred eighty-one million, nine hundred seventy-three thousand, five hundred thirty-six".