382970840186880 has 1536 divisors, whose sum is σ = 1498300570690560. Its totient is φ = 89681559552000.

The previous prime is 382970840186867. The next prime is 382970840186899. The reversal of 382970840186880 is 88681048079283.

382970840186880 is a `hidden beast` number, since 3 + 8 + 297 + 0 + 84 + 0 + 186 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-4 number, since 4×382970840186880⁴ (a number of 59 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 382970840186799 and 382970840186808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68497732885 + ... + 68497738475.

It is an arithmetic number, because the mean of its divisors is an integer number (975456100710).

Almost surely, 2^{382970840186880} is an apocalyptic number.

382970840186880 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 382970840186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749150285345280).

382970840186880 is an abundant number, since it is smaller than the sum of its proper divisors (1115329730503680).

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

382970840186880 is a wasteful number, since it uses less digits than its factorization.

382970840186880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 382970840186880 in words is "three hundred eighty-two trillion, nine hundred seventy billion, eight hundred forty million, one hundred eighty-six thousand, eight hundred eighty".