3903750400 has 243 divisors, whose sum is σ = 10772339389. Its totient is φ = 1399552000.

The previous prime is 3903750397. The next prime is 3903750413. The reversal of 3903750400 is 40573093.

The square root of 3903750400 is 62480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1405350144 + 2498400256 = 37488^2 + 49984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54982365 + ... + 54982435.

Almost surely, 2^3903750400 is an apocalyptic number.

3903750400 is the 62480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3903750400

3903750400 is an abundant number, since it is smaller than the sum of its proper divisors (6868588989).

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

3903750400 is an equidigital number, since it uses as much as digits as its factorization.

3903750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The cubic root of 3903750400 is about 1574.5653155005.

The spelling of 3903750400 in words is "three billion, nine hundred three million, seven hundred fifty thousand, four hundred".