3344130672 has 80 divisors (see below), whose sum is σ = 8872289280. Its totient is φ = 1085011200.

The previous prime is 3344130661. The next prime is 3344130677. The reversal of 3344130672 is 2760314433.

It is a super-2 number, since 2×3344130672² = 22366419902822343168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344130677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263022 + ... + 275442.

It is an arithmetic number, because the mean of its divisors is an integer number (110903616).

Almost surely, 2^3344130672 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 3344130672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436144640).

3344130672 is an abundant number, since it is smaller than the sum of its proper divisors (5528158608).

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

3344130672 is a wasteful number, since it uses less digits than its factorization.

3344130672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12582 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3344130672 is about 57828.4590145717. The cubic root of 3344130672 is about 1495.4127519597.

The spelling of 3344130672 in words is "three billion, three hundred forty-four million, one hundred thirty thousand, six hundred seventy-two".