8438379520 has 176 divisors, whose sum is σ = 20809441728. Its totient is φ = 3282370560.

The previous prime is 8438379511. The next prime is 8438379553. The reversal of 8438379520 is 259738348.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39992215 + ... + 39992425.

Almost surely, 2^8438379520 is an apocalyptic number.

8438379520 is a gapful number since it is divisible by the number (80) 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 8438379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10404720864).

8438379520 is an abundant number, since it is smaller than the sum of its proper divisors (12371062208).

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

8438379520 is a wasteful number, since it uses less digits than its factorization.

8438379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The square root of 8438379520 is about 91860.6527300998. The cubic root of 8438379520 is about 2035.8839473094.

The spelling of 8438379520 in words is "eight billion, four hundred thirty-eight million, three hundred seventy-nine thousand, five hundred twenty".