378987840 has 336 divisors, whose sum is σ = 1626168960. Its totient is φ = 78704640.

The previous prime is 378987839. The next prime is 378987871. The reversal of 378987840 is 48789873.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×378987840³ (a number of 27 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 220906 + ... + 222614.

Almost surely, 2^378987840 is an apocalyptic number.

378987840 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 378987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813084480).

378987840 is an abundant number, since it is smaller than the sum of its proper divisors (1247181120).

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

378987840 is a wasteful number, since it uses less digits than its factorization.

378987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 378987840 is about 19467.6100228045. The cubic root of 378987840 is about 723.6719818897.

The spelling of 378987840 in words is "three hundred seventy-eight million, nine hundred eighty-seven thousand, eight hundred forty".