3349805760 has 448 divisors, whose sum is σ = 13668695040. Its totient is φ = 756449280.

The previous prime is 3349805759. The next prime is 3349805801. The reversal of 3349805760 is 675089433.

3349805760 is a `hidden beast` number, since 33 + 49 + 8 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3349805760² = 22442397259458355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5866275 + ... + 5866845.

It is an arithmetic number, because the mean of its divisors is an integer number (30510480).

Almost surely, 2^3349805760 is an apocalyptic number.

3349805760 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 3349805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834347520).

3349805760 is an abundant number, since it is smaller than the sum of its proper divisors (10318889280).

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

3349805760 is a wasteful number, since it uses less digits than its factorization.

3349805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3349805760 is about 57877.5065115974. The cubic root of 3349805760 is about 1496.2581936851.

The spelling of 3349805760 in words is "three billion, three hundred forty-nine million, eight hundred five thousand, seven hundred sixty".