3849287041600 has 1323 divisors, whose sum is σ = 13152328510251. Its totient is φ = 1107487180800.

The previous prime is 3849287041541. The next prime is 3849287041601. The reversal of 3849287041600 is 61407829483.

The square root of 3849287041600 is 1961960.

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 992159429184 + 2857127612416 = 996072^2 + 1690304^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (3849287041601) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 296099003194 + ... + 296099003206.

Almost surely, 2^{3849287041600} is an apocalyptic number.

3849287041600 is the 1961960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3849287041600

3849287041600 is an abundant number, since it is smaller than the sum of its proper divisors (9303041468651).

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

3849287041600 is an frugal number, since it uses more digits than its factorization.

3849287041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 3849287041600 in words is "three trillion, eight hundred forty-nine billion, two hundred eighty-seven million, forty-one thousand, six hundred".