378874210800 has 120 divisors (see below), whose sum is σ = 1217980548720. Its totient is φ = 100673484800.

The previous prime is 378874210739. The next prime is 378874210807. The reversal of 378874210800 is 8012478873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 378874210800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378874210807) 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 23 ways as a sum of consecutive naturals, for example, 224595 + ... + 898994.

It is an arithmetic number, because the mean of its divisors is an integer number (10149837906).

Almost surely, 2^378874210800 is an apocalyptic number.

378874210800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378874210800 is an abundant number, since it is smaller than the sum of its proper divisors (839106337920).

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

378874210800 is a wasteful number, since it uses less digits than its factorization.

378874210800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123891 (or 1123880 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 378874210800 in words is "three hundred seventy-eight billion, eight hundred seventy-four million, two hundred ten thousand, eight hundred".