3460080 has 80 divisors (see below), whose sum is σ = 11561760. Its totient is φ = 850944.

The previous prime is 3460069. The next prime is 3460091. The reversal of 3460080 is 800643.

It is an interprime number because it is at equal distance from previous prime (3460069) and next prime (3460091).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2566 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (144522).

Almost surely, 2^3460080 is an apocalyptic number.

3460080 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 3460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780880).

3460080 is an abundant number, since it is smaller than the sum of its proper divisors (8101680).

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

3460080 is a wasteful number, since it uses less digits than its factorization.

3460080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3460080 is about 1860.1290277828. The cubic root of 3460080 is about 151.2499988616.

The spelling of 3460080 in words is "three million, four hundred sixty thousand, eighty".