378067917312 has 400 divisors, whose sum is σ = 1157270043072. Its totient is φ = 122843381760.

The previous prime is 378067917289. The next prime is 378067917313. The reversal of 378067917312 is 213719760873.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (378067917313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286197612 + ... + 286198932.

Almost surely, 2^378067917312 is an apocalyptic number.

378067917312 is a gapful number since it is divisible by the number (32) 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 378067917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578635021536).

378067917312 is an abundant number, since it is smaller than the sum of its proper divisors (779202125760).

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

378067917312 is a wasteful number, since it uses less digits than its factorization.

378067917312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 378067917312 in words is "three hundred seventy-eight billion, sixty-seven million, nine hundred seventeen thousand, three hundred twelve".