378240840 has 80 divisors (see below), whose sum is σ = 1271320380. Its totient is φ = 100863360.

The previous prime is 378240839. The next prime is 378240851. The reversal of 378240840 is 48042873.

378240840 is a `hidden beast` number, since 378 + 240 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370254564 + 7986276 = 19242^2 + 2826^2 .

It is a super-2 number, since 2×378240840² = 286132266087811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 378240795 and 378240804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55131 + ... + 61610.

Almost surely, 2^378240840 is an apocalyptic number.

378240840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378240840 is an abundant number, since it is smaller than the sum of its proper divisors (893079540).

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

378240840 is a wasteful number, since it uses less digits than its factorization.

378240840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116764 (or 116751 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 378240840 is about 19448.4148454315. The cubic root of 378240840 is about 723.1962071436.

The spelling of 378240840 in words is "three hundred seventy-eight million, two hundred forty thousand, eight hundred forty".