378813974400 has 1536 divisors, whose sum is σ = 1554186240000. Its totient is φ = 89669099520.

The previous prime is 378813974393. The next prime is 378813974401. The reversal of 378813974400 is 4479318873.

378813974400 is a `hidden beast` number, since 3 + 78 + 81 + 3 + 97 + 4 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378813974401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2982787137 + ... + 2982787263.

It is an arithmetic number, because the mean of its divisors is an integer number (1011840000).

Almost surely, 2^378813974400 is an apocalyptic number.

378813974400 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 378813974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777093120000).

378813974400 is an abundant number, since it is smaller than the sum of its proper divisors (1175372265600).

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

378813974400 is a wasteful number, since it uses less digits than its factorization.

378813974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 378813974400 in words is "three hundred seventy-eight billion, eight hundred thirteen million, nine hundred seventy-four thousand, four hundred".