3997600320 has 336 divisors, whose sum is σ = 15636240000. Its totient is φ = 859815936.

The previous prime is 3997600267. The next prime is 3997600333. The reversal of 3997600320 is 230067993.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 797181 + ... + 802179.

Almost surely, 2^3997600320 is an apocalyptic number.

3997600320 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 3997600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818120000).

3997600320 is an abundant number, since it is smaller than the sum of its proper divisors (11638639680).

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

3997600320 is a wasteful number, since it uses less digits than its factorization.

3997600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 3997600320 is about 63226.5792210839. The cubic root of 3997600320 is about 1587.0835505882.

The spelling of 3997600320 in words is "three billion, nine hundred ninety-seven million, six hundred thousand, three hundred twenty".