379434866785920 has 768 divisors, whose sum is σ = 1463467756608000. Its totient is φ = 89791065907200.

The previous prime is 379434866785867. The next prime is 379434866785957. The reversal of 379434866785920 is 29587668434973.

379434866785920 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 3 + 486 + 67 + 8 + 59 + 20 = 666.

It is a super-2 number, since 2×379434866785920² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 379434866785920.

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, 4628850535 + ... + 4628932505.

It is an arithmetic number, because the mean of its divisors is an integer number (1905556974750).

Almost surely, 2^{379434866785920} is an apocalyptic number.

379434866785920 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 379434866785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731733878304000).

379434866785920 is an abundant number, since it is smaller than the sum of its proper divisors (1084032889822080).

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

379434866785920 is a wasteful number, since it uses less digits than its factorization.

379434866785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83749 (or 83734 counting only the distinct ones).

The product of its (nonzero) digits is 13168189440, while the sum is 81.

The spelling of 379434866785920 in words is "three hundred seventy-nine trillion, four hundred thirty-four billion, eight hundred sixty-six million, seven hundred eighty-five thousand, nine hundred twenty".