3465346560 has 320 divisors, whose sum is σ = 12147347520. Its totient is φ = 837550080.

The previous prime is 3465346531. The next prime is 3465346601. The reversal of 3465346560 is 656435643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6089956 + ... + 6090524.

It is an arithmetic number, because the mean of its divisors is an integer number (37960461).

Almost surely, 2^3465346560 is an apocalyptic number.

3465346560 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 3465346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073673760).

3465346560 is an abundant number, since it is smaller than the sum of its proper divisors (8682000960).

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

3465346560 is a wasteful number, since it uses less digits than its factorization.

3465346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The square root of 3465346560 is about 58867.1942596214. The cubic root of 3465346560 is about 1513.2669876318.

The spelling of 3465346560 in words is "three billion, four hundred sixty-five million, three hundred forty-six thousand, five hundred sixty".