378378240 has 192 divisors, whose sum is σ = 1232431200. Its totient is φ = 99090432.

The previous prime is 378378239. The next prime is 378378251. The reversal of 378378240 is 42873873.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 378378192 and 378378201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3348424 + ... + 3348536.

Almost surely, 2^378378240 is an apocalyptic number.

378378240 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 378378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616215600).

378378240 is an abundant number, since it is smaller than the sum of its proper divisors (854052960).

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

378378240 is a wasteful number, since it uses less digits than its factorization.

378378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 378378240 is about 19451.9469462571. The cubic root of 378378240 is about 723.2837661085.

The spelling of 378378240 in words is "three hundred seventy-eight million, three hundred seventy-eight thousand, two hundred forty".