3460084080 has 80 divisors (see below), whose sum is σ = 10855555200. Its totient is φ = 911567104.

The previous prime is 3460084079. The next prime is 3460084081. The reversal of 3460084080 is 804800643.

3460084080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3460084079) and next prime (3460084081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460084081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66930 + ... + 106769.

It is an arithmetic number, because the mean of its divisors is an integer number (135694440).

Almost surely, 2^3460084080 is an apocalyptic number.

3460084080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3460084080 is an abundant number, since it is smaller than the sum of its proper divisors (7395471120).

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

3460084080 is a wasteful number, since it uses less digits than its factorization.

3460084080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173798 (or 173792 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3460084080 is about 58822.4793765105. The cubic root of 3460084080 is about 1512.5005831111.

The spelling of 3460084080 in words is "three billion, four hundred sixty million, eighty-four thousand, eighty".