378348733449400 has 192 divisors, whose sum is σ = 1019304947808000. Its totient is φ = 127923604300800.

The previous prime is 378348733449383. The next prime is 378348733449443. The reversal of 378348733449400 is 4944337843873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43217455 + ... + 51229345.

It is an arithmetic number, because the mean of its divisors is an integer number (5308879936500).

Almost surely, 2^{378348733449400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378348733449400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509652473904000).

378348733449400 is an abundant number, since it is smaller than the sum of its proper divisors (640956214358600).

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

378348733449400 is a wasteful number, since it uses less digits than its factorization.

378348733449400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012382 (or 8012373 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 67.

The spelling of 378348733449400 in words is "three hundred seventy-eight trillion, three hundred forty-eight billion, seven hundred thirty-three million, four hundred forty-nine thousand, four hundred".