3847309920 has 192 divisors, whose sum is σ = 13527864000. Its totient is φ = 1021206528.

The previous prime is 3847309919. The next prime is 3847309951. The reversal of 3847309920 is 299037483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987336 + ... + 991224.

It is an arithmetic number, because the mean of its divisors is an integer number (70457625).

Almost surely, 2^3847309920 is an apocalyptic number.

3847309920 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 3847309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763932000).

3847309920 is an abundant number, since it is smaller than the sum of its proper divisors (9680554080).

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

3847309920 is a wasteful number, since it uses less digits than its factorization.

3847309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3847309920 is about 62026.6871596412. The cubic root of 3847309920 is about 1566.9400852708.

The spelling of 3847309920 in words is "three billion, eight hundred forty-seven million, three hundred nine thousand, nine hundred twenty".