378449817292800 has 3744 divisors, whose sum is σ = 1606018326891264. Its totient is φ = 84160806912000.

The previous prime is 378449817292787. The next prime is 378449817292931. The reversal of 378449817292800 is 8292718944873.

378449817292800 is a `hidden beast` number, since 3 + 7 + 8 + 449 + 8 + 17 + 2 + 92 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1921065062302 + ... + 1921065062498.

It is an arithmetic number, because the mean of its divisors is an integer number (428957886456).

Almost surely, 2^{378449817292800} is an apocalyptic number.

378449817292800 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 378449817292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803009163445632).

378449817292800 is an abundant number, since it is smaller than the sum of its proper divisors (1227568509598464).

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

378449817292800 is a wasteful number, since it uses less digits than its factorization.

378449817292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 378449817292800 in words is "three hundred seventy-eight trillion, four hundred forty-nine billion, eight hundred seventeen million, two hundred ninety-two thousand, eight hundred".