34128810 has 64 divisors (see below), whose sum is σ = 93260160. Its totient is φ = 8876160.

The previous prime is 34128797. The next prime is 34128811. The reversal of 34128810 is 1882143.

It is a super-2 number, since 2×34128810² = 2329551344032200, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34128811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9529 + ... + 12611.

It is an arithmetic number, because the mean of its divisors is an integer number (1457190).

Almost surely, 2^34128810 is an apocalyptic number.

34128810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34128810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46630080).

34128810 is an abundant number, since it is smaller than the sum of its proper divisors (59131350).

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

34128810 is a wasteful number, since it uses less digits than its factorization.

34128810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 34128810 is about 5841.9868195675. The cubic root of 34128810 is about 324.3697767210.

The spelling of 34128810 in words is "thirty-four million, one hundred twenty-eight thousand, eight hundred ten".