378900213120 has 2304 divisors, whose sum is σ = 1706581094400. Its totient is φ = 76640256000.

The previous prime is 378900213037. The next prime is 378900213169. The reversal of 378900213120 is 21312009873.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5336622685 + ... + 5336622755.

It is an arithmetic number, because the mean of its divisors is an integer number (740703600).

Almost surely, 2^378900213120 is an apocalyptic number.

378900213120 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 378900213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853290547200).

378900213120 is an abundant number, since it is smaller than the sum of its proper divisors (1327680881280).

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

378900213120 is a wasteful number, since it uses less digits than its factorization.

378900213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 378900213120 in words is "three hundred seventy-eight billion, nine hundred million, two hundred thirteen thousand, one hundred twenty".