3344120640 has 420 divisors, whose sum is σ = 13843023876. Its totient is φ = 764080128.

The previous prime is 3344120557. The next prime is 3344120651. The reversal of 3344120640 is 460214433.

3344120640 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 12 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 854509824 + 2489610816 = 29232^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-3 number, since 3×3344120640³ (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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1268764 + ... + 1271396.

Almost surely, 2^3344120640 is an apocalyptic number.

3344120640 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 3344120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921511938).

3344120640 is an abundant number, since it is smaller than the sum of its proper divisors (10498903236).

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

3344120640 is a wasteful number, since it uses less digits than its factorization.

3344120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3344120640 is about 57828.3722752076. The cubic root of 3344120640 is about 1495.4112566039.

The spelling of 3344120640 in words is "three billion, three hundred forty-four million, one hundred twenty thousand, six hundred forty".