378251732880 has 1200 divisors, whose sum is σ = 1584361183680. Its totient is φ = 83346278400.

The previous prime is 378251732849. The next prime is 378251732909. The reversal of 378251732880 is 88237152873.

378251732880 is a `hidden beast` number, since 378 + 2 + 5 + 173 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1142754315 + ... + 1142754645.

Almost surely, 2^378251732880 is an apocalyptic number.

378251732880 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 378251732880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792180591840).

378251732880 is an abundant number, since it is smaller than the sum of its proper divisors (1206109450800).

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

378251732880 is a wasteful number, since it uses less digits than its factorization.

378251732880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 378251732880 in words is "three hundred seventy-eight billion, two hundred fifty-one million, seven hundred thirty-two thousand, eight hundred eighty".