381725789760 has 1512 divisors, whose sum is σ = 1652187663360. Its totient is φ = 80618582016.

The previous prime is 381725789729. The next prime is 381725789773. The reversal of 381725789760 is 67987527183.

381725789760 is a `hidden beast` number, since 381 + 72 + 57 + 89 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3005714817 + ... + 3005714943.

Almost surely, 2^381725789760 is an apocalyptic number.

381725789760 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 381725789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826093831680).

381725789760 is an abundant number, since it is smaller than the sum of its proper divisors (1270461873600).

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

381725789760 is a wasteful number, since it uses less digits than its factorization.

381725789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 381725789760 in words is "three hundred eighty-one billion, seven hundred twenty-five million, seven hundred eighty-nine thousand, seven hundred sixty".