381794757120 has 960 divisors, whose sum is σ = 1604357314560. Its totient is φ = 85196095488.

The previous prime is 381794757107. The next prime is 381794757121. The reversal of 381794757120 is 21757497183.

381794757120 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 9 + 47 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (381794757121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187245061 + ... + 187247099.

It is an arithmetic number, because the mean of its divisors is an integer number (1671205536).

Almost surely, 2^381794757120 is an apocalyptic number.

381794757120 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 381794757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802178657280).

381794757120 is an abundant number, since it is smaller than the sum of its proper divisors (1222562557440).

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

381794757120 is an equidigital number, since it uses as much as digits as its factorization.

381794757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 381794757120 in words is "three hundred eighty-one billion, seven hundred ninety-four million, seven hundred fifty-seven thousand, one hundred twenty".