378001728 has 280 divisors, whose sum is σ = 1239194880. Its totient is φ = 113218560.

The previous prime is 378001721. The next prime is 378001763. The reversal of 378001728 is 827100873.

It is a super-3 number, since 3×378001728³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 378001692 and 378001701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378001721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4784793 + ... + 4784871.

It is an arithmetic number, because the mean of its divisors is an integer number (4425696).

Almost surely, 2^378001728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619597440).

378001728 is an abundant number, since it is smaller than the sum of its proper divisors (861193152).

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

378001728 is a wasteful number, since it uses less digits than its factorization.

378001728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 378001728 is about 19442.2665345376. The cubic root of 378001728 is about 723.0437810302.

The spelling of 378001728 in words is "three hundred seventy-eight million, one thousand, seven hundred twenty-eight".