3852348307600 has 135 divisors (see below), whose sum is σ = 10023303067713. Its totient is φ = 1422217105920.

The previous prime is 3852348307531. The next prime is 3852348307669. The reversal of 3852348307600 is 67038432583.

The square root of 3852348307600 is 1962740.

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

It is an interprime number because it is at equal distance from previous prime (3852348307531) and next prime (3852348307669).

It can be written as a sum of positive squares in 13 ways, for example, as 2548403562384 + 1303944745216 = 1596372^2 + 1141904^2 .

It is a super-3 number, since 3×3852348307600³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 510308626 + ... + 510316174.

Almost surely, 2^{3852348307600} is an apocalyptic number.

3852348307600 is the 1962740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3852348307600

3852348307600 is an abundant number, since it is smaller than the sum of its proper divisors (6170954760113).

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

3852348307600 is an frugal number, since it uses more digits than its factorization.

3852348307600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15142 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

Multiplying 3852348307600 by its sum of digits (49), we get a square (188765067072400 = 13739180²).

The spelling of 3852348307600 in words is "three trillion, eight hundred fifty-two billion, three hundred forty-eight million, three hundred seven thousand, six hundred".