378810240 has 64 divisors (see below), whose sum is σ = 1207463760. Its totient is φ = 101015552.

The previous prime is 378810233. The next prime is 378810247. The reversal of 378810240 is 42018873.

It is an interprime number because it is at equal distance from previous prime (378810233) and next prime (378810247).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378810247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96729 + ... + 100568.

Almost surely, 2^378810240 is an apocalyptic number.

378810240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378810240 is an abundant number, since it is smaller than the sum of its proper divisors (828653520).

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

378810240 is a wasteful number, since it uses less digits than its factorization.

378810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197319 (or 197307 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 378810240 is about 19463.0480655009. The cubic root of 378810240 is about 723.5589226550.

It can be divided in two parts, 3788 and 10240, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 378810240 in words is "three hundred seventy-eight million, eight hundred ten thousand, two hundred forty".