378991872 has 270 divisors, whose sum is σ = 1318113258. Its totient is φ = 107993088.

The previous prime is 378991853. The next prime is 378991909. The reversal of 378991872 is 278199873.

378991872 is a `hidden beast` number, since 378 + 99 + 187 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 49787136 = 18144^2 + 7056^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1015878 + ... + 1016250.

Almost surely, 2^378991872 is an apocalyptic number.

378991872 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 378991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659056629).

378991872 is an abundant number, since it is smaller than the sum of its proper divisors (939121386).

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

378991872 is an equidigital number, since it uses as much as digits as its factorization.

378991872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 385 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 378991872 is about 19467.7135791546. The cubic root of 378991872 is about 723.6745482298.

The spelling of 378991872 in words is "three hundred seventy-eight million, nine hundred ninety-one thousand, eight hundred seventy-two".