34400128 has 32 divisors (see below), whose sum is σ = 78323760. Its totient is φ = 14742528.

The previous prime is 34400123. The next prime is 34400131. The reversal of 34400128 is 82100443.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 34400099 and 34400108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18301 + ... + 20092.

Almost surely, 2^34400128 is an apocalyptic number.

It is an amenable number.

34400128 is an abundant number, since it is smaller than the sum of its proper divisors (43923632).

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

34400128 is an equidigital number, since it uses as much as digits as its factorization.

34400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38414 (or 38402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 34400128 is about 5865.1622313454. The cubic root of 34400128 is about 325.2270697172.

The spelling of 34400128 in words is "thirty-four million, four hundred thousand, one hundred twenty-eight".