378224640 has 360 divisors, whose sum is σ = 1431262560. Its totient is φ = 95551488.

The previous prime is 378224629. The next prime is 378224663. The reversal of 378224640 is 46422873.

378224640 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 378224595 and 378224604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19906551 + ... + 19906569.

Almost surely, 2^378224640 is an apocalyptic number.

378224640 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 378224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715631280).

378224640 is an abundant number, since it is smaller than the sum of its proper divisors (1053037920).

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

378224640 is an frugal number, since it uses more digits than its factorization.

378224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 378224640 is about 19447.9983545865. The cubic root of 378224640 is about 723.1858822002.

The spelling of 378224640 in words is "three hundred seventy-eight million, two hundred twenty-four thousand, six hundred forty".