3834378864 has 80 divisors (see below), whose sum is σ = 11063354400. Its totient is φ = 1271476224.

The previous prime is 3834378853. The next prime is 3834378893. The reversal of 3834378864 is 4688734383.

It is a super-2 number, since 2×3834378864² = 29404922545379860992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3834378864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60382 + ... + 106370.

It is an arithmetic number, because the mean of its divisors is an integer number (138291930).

Almost surely, 2^3834378864 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 3834378864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531677200).

3834378864 is an abundant number, since it is smaller than the sum of its proper divisors (7228975536).

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

3834378864 is a wasteful number, since it uses less digits than its factorization.

3834378864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46199 (or 46187 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 3834378864 is about 61922.3615828725. The cubic root of 3834378864 is about 1565.1825859845.

The spelling of 3834378864 in words is "three billion, eight hundred thirty-four million, three hundred seventy-eight thousand, eight hundred sixty-four".