34286496 has 96 divisors (see below), whose sum is σ = 95510016. Its totient is φ = 10752000.

The previous prime is 34286479. The next prime is 34286503. The reversal of 34286496 is 69468243.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121876 + ... + 122156.

It is an arithmetic number, because the mean of its divisors is an integer number (994896).

Almost surely, 2^34286496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34286496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47755008).

34286496 is an abundant number, since it is smaller than the sum of its proper divisors (61223520).

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

34286496 is a wasteful number, since it uses less digits than its factorization.

34286496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 34286496 is about 5855.4671888757. The cubic root of 34286496 is about 324.8685732895.

The spelling of 34286496 in words is "thirty-four million, two hundred eighty-six thousand, four hundred ninety-six".