378819309600 has 1008 divisors, whose sum is σ = 1546154477280. Its totient is φ = 90027417600.

The previous prime is 378819309587. The next prime is 378819309611. The reversal of 378819309600 is 6903918873.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 188372595 + ... + 188374605.

It is an arithmetic number, because the mean of its divisors is an integer number (1533883410).

Almost surely, 2^378819309600 is an apocalyptic number.

378819309600 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 378819309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773077238640).

378819309600 is an abundant number, since it is smaller than the sum of its proper divisors (1167335167680).

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

378819309600 is a wasteful number, since it uses less digits than its factorization.

378819309600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 378819309600 in words is "three hundred seventy-eight billion, eight hundred nineteen million, three hundred nine thousand, six hundred".