378354240 has 280 divisors, whose sum is σ = 1469331072. Its totient is φ = 91653120.

The previous prime is 378354233. The next prime is 378354257. The reversal of 378354240 is 42453873.

It is a happy number.

378354240 is a `hidden beast` number, since 3 + 78 + 3 + 542 + 40 = 666.

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 = 378354195 and 378354204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284457 + ... + 285783.

Almost surely, 2^378354240 is an apocalyptic number.

378354240 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 378354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734665536).

378354240 is an abundant number, since it is smaller than the sum of its proper divisors (1090976832).

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

378354240 is a wasteful number, since it uses less digits than its factorization.

378354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 378354240 is about 19451.3300316457. The cubic root of 378354240 is about 723.2684734942.

The spelling of 378354240 in words is "three hundred seventy-eight million, three hundred fifty-four thousand, two hundred forty".