3346579080 has 384 divisors, whose sum is σ = 12185147520. Its totient is φ = 791285760.

The previous prime is 3346579073. The next prime is 3346579111. The reversal of 3346579080 is 809756433.

3346579080 is a `hidden beast` number, since 33 + 46 + 579 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×3346579080² = 22399183077387292800, 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 95 ways as a sum of consecutive naturals, for example, 20531079 + ... + 20531241.

It is an arithmetic number, because the mean of its divisors is an integer number (31732155).

Almost surely, 2^3346579080 is an apocalyptic number.

3346579080 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 3346579080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092573760).

3346579080 is an abundant number, since it is smaller than the sum of its proper divisors (8838568440).

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

3346579080 is a wasteful number, since it uses less digits than its factorization.

3346579080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

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

The square root of 3346579080 is about 57849.6247178839. The cubic root of 3346579080 is about 1495.7776188172. Note that the first 3 decimals are identical.

The spelling of 3346579080 in words is "three billion, three hundred forty-six million, five hundred seventy-nine thousand, eighty".