34720560 has 180 divisors, whose sum is σ = 134885712. Its totient is φ = 7840512.

The previous prime is 34720559. The next prime is 34720561. The reversal of 34720560 is 6502743.

It is a happy number.

34720560 is a `hidden beast` number, since 34 + 72 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (34720559) and next prime (34720561).

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

It is not an unprimeable number, because it can be changed into a prime (34720561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 418279 + ... + 418361.

Almost surely, 2^34720560 is an apocalyptic number.

34720560 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 34720560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67442856).

34720560 is an abundant number, since it is smaller than the sum of its proper divisors (100165152).

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

34720560 is a wasteful number, since it uses less digits than its factorization.

34720560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34720560 is about 5892.4154639672. The cubic root of 34720560 is about 326.2337641103.

Multiplying 34720560 by its product of nonzero digits (5040), we get a square (174991622400 = 418320²).

34720560 divided by its product of nonzero digits (5040) gives a square (6889 = 83²).

The spelling of 34720560 in words is "thirty-four million, seven hundred twenty thousand, five hundred sixty".