378390657600 has 588 divisors, whose sum is σ = 1401188772420. Its totient is φ = 100528128000.

The previous prime is 378390657599. The next prime is 378390657613. The reversal of 378390657600 is 6756093873.

378390657600 is a `hidden beast` number, since 37 + 8 + 39 + 0 + 6 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 62024906304 + 316365751296 = 249048^2 + 562464^2 .

It is a super-3 number, since 3×378390657600³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 467725996 + ... + 467726804.

Almost surely, 2^378390657600 is an apocalyptic number.

378390657600 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 378390657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700594386210).

378390657600 is an abundant number, since it is smaller than the sum of its proper divisors (1022798114820).

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

378390657600 is an equidigital number, since it uses as much as digits as its factorization.

378390657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 378390657600 in words is "three hundred seventy-eight billion, three hundred ninety million, six hundred fifty-seven thousand, six hundred".