34128360 has 192 divisors, whose sum is σ = 131414400. Its totient is φ = 7515648.

The previous prime is 34128323. The next prime is 34128371. The reversal of 34128360 is 6382143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72847 + ... + 73313.

It is an arithmetic number, because the mean of its divisors is an integer number (684450).

Almost surely, 2^34128360 is an apocalyptic number.

34128360 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 34128360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65707200).

34128360 is an abundant number, since it is smaller than the sum of its proper divisors (97286040).

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

34128360 is a wasteful number, since it uses less digits than its factorization.

34128360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34128360 is about 5841.9483051462. The cubic root of 34128360 is about 324.3683510727.

The spelling of 34128360 in words is "thirty-four million, one hundred twenty-eight thousand, three hundred sixty".