378382752000 has 1440 divisors, whose sum is σ = 1605651151104. Its totient is φ = 87588864000.

The previous prime is 378382751951. The next prime is 378382752001. The reversal of 378382752000 is 257283873.

378382752000 is a `hidden beast` number, since 3 + 78 + 38 + 27 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×378382752000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (378382752001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 655775712 + ... + 655776288.

Almost surely, 2^378382752000 is an apocalyptic number.

378382752000 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 378382752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802825575552).

378382752000 is an abundant number, since it is smaller than the sum of its proper divisors (1227268399104).

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

378382752000 is a wasteful number, since it uses less digits than its factorization.

378382752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 378382752000 in words is "three hundred seventy-eight billion, three hundred eighty-two million, seven hundred fifty-two thousand".