378267672384 has 588 divisors, whose sum is σ = 1386317117124. Its totient is φ = 101708587008.

The previous prime is 378267672271. The next prime is 378267672407. The reversal of 378267672384 is 483276762873.

378267672384 is a `hidden beast` number, since 378 + 26 + 7 + 6 + 7 + 238 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312973113600 + 65294558784 = 559440^2 + 255528^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 38859582 + ... + 38869314.

Almost surely, 2^378267672384 is an apocalyptic number.

378267672384 is a gapful number since it is divisible by the number (34) 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 378267672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693158558562).

378267672384 is an abundant number, since it is smaller than the sum of its proper divisors (1008049444740).

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

378267672384 is an equidigital number, since it uses as much as digits as its factorization.

378267672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9762 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 378267672384 in words is "three hundred seventy-eight billion, two hundred sixty-seven million, six hundred seventy-two thousand, three hundred eighty-four".