378689034240 has 864 divisors, whose sum is σ = 1493650594800. Its totient is φ = 88562073600.

The previous prime is 378689034233. The next prime is 378689034259. The reversal of 378689034240 is 42430986873.

378689034240 is a `hidden beast` number, since 3 + 78 + 68 + 90 + 3 + 424 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323388855 + ... + 323390025.

Almost surely, 2^378689034240 is an apocalyptic number.

378689034240 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 378689034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746825297400).

378689034240 is an abundant number, since it is smaller than the sum of its proper divisors (1114961560560).

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

378689034240 is a wasteful number, since it uses less digits than its factorization.

378689034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 378689034240 in words is "three hundred seventy-eight billion, six hundred eighty-nine million, thirty-four thousand, two hundred forty".