381878001792 has 640 divisors, whose sum is σ = 1344389376000. Its totient is φ = 107540213760.

The previous prime is 381878001779. The next prime is 381878001797. The reversal of 381878001792 is 297100878183.

It is a happy number.

It is a super-2 number, since 2×381878001792² (a number of 24 digits) contains 22 as substring.

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 (381878001797) 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 79 ways as a sum of consecutive naturals, for example, 259603617 + ... + 259605087.

It is an arithmetic number, because the mean of its divisors is an integer number (2100608400).

Almost surely, 2^381878001792 is an apocalyptic number.

381878001792 is a gapful number since it is divisible by the number (32) 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 381878001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672194688000).

381878001792 is an abundant number, since it is smaller than the sum of its proper divisors (962511374208).

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

381878001792 is an equidigital number, since it uses as much as digits as its factorization.

381878001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 381878001792 in words is "three hundred eighty-one billion, eight hundred seventy-eight million, one thousand, seven hundred ninety-two".