3985336320 has 384 divisors, whose sum is σ = 14944849920. Its totient is φ = 887685120.

The previous prime is 3985336291. The next prime is 3985336337. The reversal of 3985336320 is 236335893.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3985336320² = 31765811167022284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9246505 + ... + 9246935.

It is an arithmetic number, because the mean of its divisors is an integer number (38918880).

Almost surely, 2^3985336320 is an apocalyptic number.

3985336320 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 3985336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472424960).

3985336320 is an abundant number, since it is smaller than the sum of its proper divisors (10959513600).

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

3985336320 is a wasteful number, since it uses less digits than its factorization.

3985336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 3985336320 is about 63129.5201945968. The cubic root of 3985336320 is about 1585.4589150369.

The spelling of 3985336320 in words is "three billion, nine hundred eighty-five million, three hundred thirty-six thousand, three hundred twenty".