34656480 has 144 divisors (see below), whose sum is σ = 121356144. Its totient is φ = 9000960.

The previous prime is 34656473. The next prime is 34656491. The reversal of 34656480 is 8465643.

34656480 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×34656480³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58747 + ... + 59333.

It is an arithmetic number, because the mean of its divisors is an integer number (842751).

Almost surely, 2^34656480 is an apocalyptic number.

34656480 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 34656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60678072).

34656480 is an abundant number, since it is smaller than the sum of its proper divisors (86699664).

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

34656480 is a wasteful number, since it uses less digits than its factorization.

34656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 638 counting only the distinct ones).

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

The square root of 34656480 is about 5886.9754543399. The cubic root of 34656480 is about 326.0329423346.

The spelling of 34656480 in words is "thirty-four million, six hundred fifty-six thousand, four hundred eighty".