378851477400 has 768 divisors, whose sum is σ = 1476705484800. Its totient is φ = 88444224000.

The previous prime is 378851477393. The next prime is 378851477401. The reversal of 378851477400 is 4774158873.

378851477400 is a `hidden beast` number, since 3 + 7 + 88 + 51 + 477 + 40 + 0 = 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 (378851477401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 521115837 + ... + 521116563.

It is an arithmetic number, because the mean of its divisors is an integer number (1922793600).

Almost surely, 2^378851477400 is an apocalyptic number.

378851477400 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 378851477400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738352742400).

378851477400 is an abundant number, since it is smaller than the sum of its proper divisors (1097854007400).

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

378851477400 is a wasteful number, since it uses less digits than its factorization.

378851477400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 378851477400 in words is "three hundred seventy-eight billion, eight hundred fifty-one million, four hundred seventy-seven thousand, four hundred".