34566480 has 160 divisors (see below), whose sum is σ = 128325120. Its totient is φ = 8501760.

The previous prime is 34566461. The next prime is 34566481. The reversal of 34566480 is 8466543.

34566480 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 648 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34566481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27465 + ... + 28695.

It is an arithmetic number, because the mean of its divisors is an integer number (802032).

Almost surely, 2^34566480 is an apocalyptic number.

34566480 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 34566480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162560).

34566480 is an abundant number, since it is smaller than the sum of its proper divisors (93758640).

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

34566480 is a wasteful number, since it uses less digits than its factorization.

34566480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1254 counting only the distinct ones).

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

The square root of 34566480 is about 5879.3264920397. The cubic root of 34566480 is about 325.7504708513.

It can be divided in two parts, 345664 and 80, that added together give a square (345744 = 588²).

The spelling of 34566480 in words is "thirty-four million, five hundred sixty-six thousand, four hundred eighty".