3344509806 has 16 divisors (see below), whose sum is σ = 7297112448. Its totient is φ = 1013487800.

The previous prime is 3344509783. The next prime is 3344509823. The reversal of 3344509806 is 6089054433.

It is a super-3 number, since 3×3344509806³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25337130 + ... + 25337261.

It is an arithmetic number, because the mean of its divisors is an integer number (456069528).

Almost surely, 2^3344509806 is an apocalyptic number.

3344509806 is an abundant number, since it is smaller than the sum of its proper divisors (3952602642).

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

3344509806 is a wasteful number, since it uses less digits than its factorization.

3344509806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50674407.

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3344509806 is about 57831.7370135119. The cubic root of 3344509806 is about 1495.4692629486.

The spelling of 3344509806 in words is "three billion, three hundred forty-four million, five hundred nine thousand, eight hundred six".