3930097600 has 336 divisors, whose sum is σ = 11548323360. Its totient is φ = 1297612800.

The previous prime is 3930097471. The next prime is 3930097649. The reversal of 3930097600 is 67900393.

It is a self number, because there is not a number n which added to its sum of digits gives 3930097600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20363104 + ... + 20363296.

It is an arithmetic number, because the mean of its divisors is an integer number (34370010).

Almost surely, 2^3930097600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774161680).

3930097600 is an abundant number, since it is smaller than the sum of its proper divisors (7618225760).

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

3930097600 is a wasteful number, since it uses less digits than its factorization.

3930097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 37.

The square root of 3930097600 is about 62690.4905069341. The cubic root of 3930097600 is about 1578.0997290206.

Adding to 3930097600 its reverse (67900393), we get a palindrome (3997997993).

It can be divided in two parts, 39300 and 97600, that added together give a square (136900 = 370²).

The spelling of 3930097600 in words is "three billion, nine hundred thirty million, ninety-seven thousand, six hundred".