381596746320 has 240 divisors, whose sum is σ = 1352072092800. Its totient is φ = 96182277120.

The previous prime is 381596746303. The next prime is 381596746357. The reversal of 381596746320 is 23647695183.

381596746320 is a `hidden beast` number, since 3 + 8 + 1 + 596 + 7 + 46 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5973750 + ... + 6037290.

It is an arithmetic number, because the mean of its divisors is an integer number (5633633720).

It is a 1-persistent number, because it is pandigital, but 2⋅381596746320 = 763193492640 is not.

Almost surely, 2^381596746320 is an apocalyptic number.

381596746320 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 381596746320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676036046400).

381596746320 is an abundant number, since it is smaller than the sum of its proper divisors (970475346480).

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

381596746320 is a wasteful number, since it uses less digits than its factorization.

381596746320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64018 (or 64009 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 381596746320 in words is "three hundred eighty-one billion, five hundred ninety-six million, seven hundred forty-six thousand, three hundred twenty".