378607320000 has 1890 divisors, whose sum is σ = 1721607009408. Its totient is φ = 79252992000.

The previous prime is 378607319917. The next prime is 378607320031. The reversal of 378607320000 is 23706873.

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 269 ways as a sum of consecutive naturals, for example, 2981159937 + ... + 2981160063.

Almost surely, 2^378607320000 is an apocalyptic number.

378607320000 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 378607320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860803504704).

378607320000 is an abundant number, since it is smaller than the sum of its proper divisors (1342999689408).

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

378607320000 is a wasteful number, since it uses less digits than its factorization.

378607320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 378607320000 in words is "three hundred seventy-eight billion, six hundred seven million, three hundred twenty thousand".