3817672320 has 1024 divisors, whose sum is σ = 16920576000. Its totient is φ = 722534400.

The previous prime is 3817672307. The next prime is 3817672363. The reversal of 3817672320 is 232767183.

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 127 ways as a sum of consecutive naturals, for example, 123150705 + ... + 123150735.

It is an arithmetic number, because the mean of its divisors is an integer number (16524000).

Almost surely, 2^3817672320 is an apocalyptic number.

3817672320 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 3817672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460288000).

3817672320 is an abundant number, since it is smaller than the sum of its proper divisors (13102903680).

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

3817672320 is a wasteful number, since it uses less digits than its factorization.

3817672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 3817672320 is about 61787.3152030415. The cubic root of 3817672320 is about 1562.9060885405.

The spelling of 3817672320 in words is "three billion, eight hundred seventeen million, six hundred seventy-two thousand, three hundred twenty".