3950315251600 has 45 divisors (see below), whose sum is σ = 9490727894227. Its totient is φ = 1580110200320.

The previous prime is 3950315251573. The next prime is 3950315251601. The reversal of 3950315251600 is 61525130593.

The square root of 3950315251600 is 1987540.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2056895219344 + 1893420032256 = 1434188^2 + 1376016^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3950315251601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39701112 + ... + 39800488.

Almost surely, 2^{3950315251600} is an apocalyptic number.

3950315251600 is the 1987540-th square number.

It is an amenable number.

3950315251600 is an abundant number, since it is smaller than the sum of its proper divisors (5540412642627).

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

3950315251600 is an frugal number, since it uses more digits than its factorization.

3950315251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198772 (or 99384 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 40.

The spelling of 3950315251600 in words is "three trillion, nine hundred fifty billion, three hundred fifteen million, two hundred fifty-one thousand, six hundred".