3849952490784 has 288 divisors, whose sum is σ = 11418176689920. Its totient is φ = 1276056778752.

The previous prime is 3849952490729. The next prime is 3849952490821. The reversal of 3849952490784 is 4870942599483.

3849952490784 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 9 + 52 + 490 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2589072889 + ... + 2589074375.

It is an arithmetic number, because the mean of its divisors is an integer number (39646446840).

Almost surely, 2^{3849952490784} 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 3849952490784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709088344960).

3849952490784 is an abundant number, since it is smaller than the sum of its proper divisors (7568224199136).

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

3849952490784 is a wasteful number, since it uses less digits than its factorization.

3849952490784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 3849952490784 in words is "three trillion, eight hundred forty-nine billion, nine hundred fifty-two million, four hundred ninety thousand, seven hundred eighty-four".