3468706560 has 432 divisors, whose sum is σ = 13530037248. Its totient is φ = 812851200.

The previous prime is 3468706547. The next prime is 3468706561. The reversal of 3468706560 is 656078643.

3468706560 is a `hidden beast` number, since 3 + 4 + 6 + 87 + 0 + 6 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3468706561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3927879 + ... + 3928761.

Almost surely, 2^3468706560 is an apocalyptic number.

3468706560 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 3468706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765018624).

3468706560 is an abundant number, since it is smaller than the sum of its proper divisors (10061330688).

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

3468706560 is a wasteful number, since it uses less digits than its factorization.

3468706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3468706560 is about 58895.7261607326. The cubic root of 3468706560 is about 1513.7559175305.

The spelling of 3468706560 in words is "three billion, four hundred sixty-eight million, seven hundred six thousand, five hundred sixty".