3346375680 has 220 divisors, whose sum is σ = 11993004540. Its totient is φ = 892256256.

The previous prime is 3346375663. The next prime is 3346375709. The reversal of 3346375680 is 865736433.

3346375680 is a `hidden beast` number, since 3 + 3 + 4 + 637 + 5 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 383533056 + 2962842624 = 19584^2 + 54432^2 .

It is a super-2 number, since 2×3346375680² = 22396460383390924800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 410686 + ... + 418754.

It is an arithmetic number, because the mean of its divisors is an integer number (54513657).

Almost surely, 2^3346375680 is an apocalyptic number.

3346375680 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 3346375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996502270).

3346375680 is an abundant number, since it is smaller than the sum of its proper divisors (8646628860).

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

3346375680 is an equidigital number, since it uses as much as digits as its factorization.

3346375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3346375680 is about 57847.8666849522. The cubic root of 3346375680 is about 1495.7473145050.

The spelling of 3346375680 in words is "three billion, three hundred forty-six million, three hundred seventy-five thousand, six hundred eighty".