379910434996224 has 1320 divisors, whose sum is σ = 1287215451688320. Its totient is φ = 111064272076800.

The previous prime is 379910434996207. The next prime is 379910434996237. The reversal of 379910434996224 is 422699434019973.

379910434996224 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 10 + 43 + 499 + 62 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 308619361689 + ... + 308619362919.

It is an arithmetic number, because the mean of its divisors is an integer number (975163220976).

Almost surely, 2^{379910434996224} 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 379910434996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643607725844160).

379910434996224 is an abundant number, since it is smaller than the sum of its proper divisors (907305016692096).

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

379910434996224 is an frugal number, since it uses more digits than its factorization.

379910434996224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 379910434996224 in words is "three hundred seventy-nine trillion, nine hundred ten billion, four hundred thirty-four million, nine hundred ninety-six thousand, two hundred twenty-four".