3960237600 has 432 divisors, whose sum is σ = 15735492864. Its totient is φ = 928512000.

The previous prime is 3960237563. The next prime is 3960237629. The reversal of 3960237600 is 67320693.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2454394 + ... + 2456006.

It is an arithmetic number, because the mean of its divisors is an integer number (36424752).

Almost surely, 2^3960237600 is an apocalyptic number.

3960237600 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 3960237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867746432).

3960237600 is an abundant number, since it is smaller than the sum of its proper divisors (11775255264).

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

3960237600 is a wasteful number, since it uses less digits than its factorization.

3960237600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3960237600 is about 62930.4187178188. The cubic root of 3960237600 is about 1582.1236198998.

The spelling of 3960237600 in words is "three billion, nine hundred sixty million, two hundred thirty-seven thousand, six hundred".