378470386819800 has 576 divisors, whose sum is σ = 1396240127100000. Its totient is φ = 91111357440000.

The previous prime is 378470386819781. The next prime is 378470386819801. The reversal of 378470386819800 is 8918683074873.

378470386819800 is a `hidden beast` number, since 3 + 7 + 8 + 470 + 3 + 8 + 68 + 1 + 98 + 0 + 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 not an unprimeable number, because it can be changed into a prime (378470386819801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13420445700 + ... + 13420473900.

Almost surely, 2^{378470386819800} is an apocalyptic number.

378470386819800 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 378470386819800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698120063550000).

378470386819800 is an abundant number, since it is smaller than the sum of its proper divisors (1017769740280200).

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

378470386819800 is a wasteful number, since it uses less digits than its factorization.

378470386819800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32932 (or 32920 counting only the distinct ones).

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

The spelling of 378470386819800 in words is "three hundred seventy-eight trillion, four hundred seventy billion, three hundred eighty-six million, eight hundred nineteen thousand, eight hundred".