3344163840 has 352 divisors, whose sum is σ = 12592488960. Its totient is φ = 838729728.

The previous prime is 3344163827. The next prime is 3344163841. The reversal of 3344163840 is 483614433.

It is a happy number.

It is a super-3 number, since 3×3344163840³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3344163795 and 3344163804.

It is not an unprimeable number, because it can be changed into a prime (3344163841) 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 31 ways as a sum of consecutive naturals, for example, 2349369 + ... + 2350791.

Almost surely, 2^3344163840 is an apocalyptic number.

3344163840 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 3344163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296244480).

3344163840 is an abundant number, since it is smaller than the sum of its proper divisors (9248325120).

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

3344163840 is a wasteful number, since it uses less digits than its factorization.

3344163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3344163840 is about 57828.7457930742. The cubic root of 3344163840 is about 1495.4176959139.

The spelling of 3344163840 in words is "three billion, three hundred forty-four million, one hundred sixty-three thousand, eight hundred forty".