3344760064 has 72 divisors (see below), whose sum is σ = 7175323008. Its totient is φ = 1550376960.

The previous prime is 3344760043. The next prime is 3344760101. The reversal of 3344760064 is 4600674433.

3344760064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3344760064² = 22374839771458568192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 285849 + ... + 297319.

It is an arithmetic number, because the mean of its divisors is an integer number (99657264).

Almost surely, 2^3344760064 is an apocalyptic number.

3344760064 is a gapful number since it is divisible by the number (34) 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 3344760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587661504).

3344760064 is an abundant number, since it is smaller than the sum of its proper divisors (3830562944).

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

3344760064 is a wasteful number, since it uses less digits than its factorization.

3344760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11571 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 37.

The square root of 3344760064 is about 57833.9006465931. The cubic root of 3344760064 is about 1495.5065622674.

The spelling of 3344760064 in words is "three billion, three hundred forty-four million, seven hundred sixty thousand, sixty-four".