379636908955920 has 1920 divisors, whose sum is σ = 1692201086484480. Its totient is φ = 73842473041920.

The previous prime is 379636908955867. The next prime is 379636908955939. The reversal of 379636908955920 is 29559809636973.

379636908955920 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 36 + 9 + 0 + 8 + 9 + 559 + 20 = 666.

It is a super-2 number, since 2×379636908955920² (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 379636908955920.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 269437124176 + ... + 269437125584.

It is an arithmetic number, because the mean of its divisors is an integer number (881354732544).

Almost surely, 2^{379636908955920} is an apocalyptic number.

379636908955920 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 379636908955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846100543242240).

379636908955920 is an abundant number, since it is smaller than the sum of its proper divisors (1312564177528560).

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

379636908955920 is a wasteful number, since it uses less digits than its factorization.

379636908955920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 5952139200, while the sum is 81.

The spelling of 379636908955920 in words is "three hundred seventy-nine trillion, six hundred thirty-six billion, nine hundred eight million, nine hundred fifty-five thousand, nine hundred twenty".