34400328 has 32 divisors (see below), whose sum is σ = 88776960. Its totient is φ = 11096640.

The previous prime is 34400323. The next prime is 34400329. The reversal of 34400328 is 82300443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34400298 and 34400307.

It is not an unprimeable number, because it can be changed into a prime (34400323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22375 + ... + 23862.

It is an arithmetic number, because the mean of its divisors is an integer number (2774280).

Almost surely, 2^34400328 is an apocalyptic number.

It is an amenable number.

34400328 is an abundant number, since it is smaller than the sum of its proper divisors (54376632).

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

34400328 is a wasteful number, since it uses less digits than its factorization.

34400328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46277 (or 46273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34400328 is about 5865.1792811473. The cubic root of 34400328 is about 325.2276999987.

The spelling of 34400328 in words is "thirty-four million, four hundred thousand, three hundred twenty-eight".