34128480 has 96 divisors (see below), whose sum is σ = 108761184. Its totient is φ = 8994816.

The previous prime is 34128443. The next prime is 34128509. The reversal of 34128480 is 8482143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34128480² = 2329506294220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 46194 + ... + 46926.

It is an arithmetic number, because the mean of its divisors is an integer number (1132929).

Almost surely, 2^34128480 is an apocalyptic number.

34128480 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 34128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54380592).

34128480 is an abundant number, since it is smaller than the sum of its proper divisors (74632704).

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

34128480 is a wasteful number, since it uses less digits than its factorization.

34128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 34128480 is about 5841.9585756833. The cubic root of 34128480 is about 324.3687312468.

The spelling of 34128480 in words is "thirty-four million, one hundred twenty-eight thousand, four hundred eighty".