34080480 has 384 divisors, whose sum is σ = 145152000. Its totient is φ = 7451136.

The previous prime is 34080469. The next prime is 34080491. The reversal of 34080480 is 8408043.

It is an interprime number because it is at equal distance from previous prime (34080469) and next prime (34080491).

It is a super-2 number, since 2×34080480² = 2322958234060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481749 + ... + 1481771.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^34080480 is an apocalyptic number.

34080480 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 34080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

34080480 is an abundant number, since it is smaller than the sum of its proper divisors (111071520).

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

34080480 is a wasteful number, since it uses less digits than its factorization.

34080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34080480 is about 5837.8489189084. The cubic root of 34080480 is about 324.2165904332.

The spelling of 34080480 in words is "thirty-four million, eighty thousand, four hundred eighty".