3468094560 has 432 divisors, whose sum is σ = 14372388576. Its totient is φ = 757886976.

The previous prime is 3468094559. The next prime is 3468094561. The reversal of 3468094560 is 654908643.

3468094560 is a `hidden beast` number, since 3 + 4 + 6 + 80 + 9 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3468094559) and next prime (3468094561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468094561) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1621812 + ... + 1623948.

It is an arithmetic number, because the mean of its divisors is an integer number (33269418).

Almost surely, 2^3468094560 is an apocalyptic number.

3468094560 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 3468094560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186194288).

3468094560 is an abundant number, since it is smaller than the sum of its proper divisors (10904294016).

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

3468094560 is a wasteful number, since it uses less digits than its factorization.

3468094560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3468094560 is about 58890.5303083611. The cubic root of 3468094560 is about 1513.6668859664. Note that the first 3 decimals are identical.

The spelling of 3468094560 in words is "three billion, four hundred sixty-eight million, ninety-four thousand, five hundred sixty".