3949163456784 has 480 divisors, whose sum is σ = 13360961677056. Its totient is φ = 978610913280.

The previous prime is 3949163456729. The next prime is 3949163456813. The reversal of 3949163456784 is 4876543619493.

3949163456784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 854609994 + ... + 854614614.

Almost surely, 2^{3949163456784} is an apocalyptic number.

3949163456784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3949163456784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680480838528).

3949163456784 is an abundant number, since it is smaller than the sum of its proper divisors (9411798220272).

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

3949163456784 is a wasteful number, since it uses less digits than its factorization.

3949163456784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5340 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 69.

It can be divided in two parts, 394916 and 3456784, that added together give a triangular number (3851700 = T₂₇₇₅).

The spelling of 3949163456784 in words is "three trillion, nine hundred forty-nine billion, one hundred sixty-three million, four hundred fifty-six thousand, seven hundred eighty-four".