378304302240 has 144 divisors (see below), whose sum is σ = 1291125352608. Its totient is φ = 100868494848.

The previous prime is 378304302221. The next prime is 378304302263. The reversal of 378304302240 is 42203403873.

378304302240 is a `hidden beast` number, since 3 + 7 + 8 + 304 + 302 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×378304302240² (a number of 24 digits) 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 = 378304302195 and 378304302204.

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, 19463407 + ... + 19482833.

It is an arithmetic number, because the mean of its divisors is an integer number (8966148282).

Almost surely, 2^378304302240 is an apocalyptic number.

378304302240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378304302240 is an abundant number, since it is smaller than the sum of its proper divisors (912821050368).

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

378304302240 is a wasteful number, since it uses less digits than its factorization.

378304302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32971 (or 32960 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 378304302240 in words is "three hundred seventy-eight billion, three hundred four million, three hundred two thousand, two hundred forty".