34468560 has 180 divisors, whose sum is σ = 134793828. Its totient is φ = 7870464.

The previous prime is 34468547. The next prime is 34468597. The reversal of 34468560 is 6586443.

34468560 is a `hidden beast` number, since 34 + 4 + 68 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 10732176 = 4872^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34792 + ... + 35768.

Almost surely, 2^34468560 is an apocalyptic number.

34468560 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 34468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67396914).

34468560 is an abundant number, since it is smaller than the sum of its proper divisors (100325268).

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

34468560 is a wasteful number, since it uses less digits than its factorization.

34468560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 34468560 is about 5870.9931016822. The cubic root of 34468560 is about 325.4425843925.

The spelling of 34468560 in words is "thirty-four million, four hundred sixty-eight thousand, five hundred sixty".