3413356080 has 120 divisors (see below), whose sum is σ = 11167914672. Its totient is φ = 862299648.

The previous prime is 3413356069. The next prime is 3413356103. The reversal of 3413356080 is 806533143.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 66942 + ... + 106338.

Almost surely, 2^3413356080 is an apocalyptic number.

3413356080 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 3413356080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583957336).

3413356080 is an abundant number, since it is smaller than the sum of its proper divisors (7754558592).

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

3413356080 is a wasteful number, since it uses less digits than its factorization.

3413356080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39451 (or 39426 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3413356080 is about 58423.9341366190. The cubic root of 3413356080 is about 1505.6609908011.

The spelling of 3413356080 in words is "three billion, four hundred thirteen million, three hundred fifty-six thousand, eighty".