34206480 has 240 divisors, whose sum is σ = 143455104. Its totient is φ = 7096320.

The previous prime is 34206467. The next prime is 34206481. The reversal of 34206480 is 8460243.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (34206481) 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, 55132 + ... + 55748.

Almost surely, 2^34206480 is an apocalyptic number.

34206480 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 34206480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71727552).

34206480 is an abundant number, since it is smaller than the sum of its proper divisors (109248624).

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

34206480 is a wasteful number, since it uses less digits than its factorization.

34206480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34206480 is about 5848.6306089545. The cubic root of 34206480 is about 324.6156561090.

The spelling of 34206480 in words is "thirty-four million, two hundred six thousand, four hundred eighty".