378280386000 has 960 divisors, whose sum is σ = 1527963989760. Its totient is φ = 86261760000.

The previous prime is 378280385963. The next prime is 378280386017. The reversal of 378280386000 is 683082873.

378280386000 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 8 + 0 + 38 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 726065740 + ... + 726066260.

It is an arithmetic number, because the mean of its divisors is an integer number (1591629156).

Almost surely, 2^378280386000 is an apocalyptic number.

378280386000 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 378280386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763981994880).

378280386000 is an abundant number, since it is smaller than the sum of its proper divisors (1149683603760).

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

378280386000 is a wasteful number, since it uses less digits than its factorization.

378280386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 378280386000 in words is "three hundred seventy-eight billion, two hundred eighty million, three hundred eighty-six thousand".