3834967368960 has 2016 divisors, whose sum is σ = 17850573807360. Its totient is φ = 766227382272.

The previous prime is 3834967368919. The next prime is 3834967368971. The reversal of 3834967368960 is 698637694383.

It is a happy number.

3834967368960 is a `hidden beast` number, since 3 + 8 + 3 + 496 + 73 + 6 + 8 + 9 + 60 = 666.

3834967368960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1613363292 + ... + 1613365668.

Almost surely, 2^{3834967368960} is an apocalyptic number.

3834967368960 is a gapful number since it is divisible by the number (30) 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 3834967368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925286903680).

3834967368960 is an abundant number, since it is smaller than the sum of its proper divisors (14015606438400).

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

3834967368960 is a wasteful number, since it uses less digits than its factorization.

3834967368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 3834967368960 in words is "three trillion, eight hundred thirty-four billion, nine hundred sixty-seven million, three hundred sixty-eight thousand, nine hundred sixty".