3379144896 has 84 divisors (see below), whose sum is σ = 9779916432. Its totient is φ = 1115426304.

The previous prime is 3379144891. The next prime is 3379144897. The reversal of 3379144896 is 6984419733.

It is a happy number.

It is a super-2 number, since 2×3379144896² = 22837240456325701632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3379144891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30850 + ... + 87806.

Almost surely, 2^3379144896 is an apocalyptic number.

3379144896 is a gapful number since it is divisible by the number (36) 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 3379144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889958216).

3379144896 is an abundant number, since it is smaller than the sum of its proper divisors (6400771536).

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

3379144896 is a wasteful number, since it uses less digits than its factorization.

3379144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57078 (or 57065 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3379144896 is about 58130.4128318387. The cubic root of 3379144896 is about 1500.6138074593.

It can be divided in two parts, 33791 and 44896, that added together give a palindrome (78687).

The spelling of 3379144896 in words is "three billion, three hundred seventy-nine million, one hundred forty-four thousand, eight hundred ninety-six".