34287456 has 144 divisors (see below), whose sum is σ = 108074736. Its totient is φ = 9483264.

The previous prime is 34287427. The next prime is 34287467. The reversal of 34287456 is 65478243.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173950 + ... + 174146.

It is an arithmetic number, because the mean of its divisors is an integer number (750519).

Almost surely, 2^34287456 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 34287456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54037368).

34287456 is an abundant number, since it is smaller than the sum of its proper divisors (73787280).

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

34287456 is a wasteful number, since it uses less digits than its factorization.

34287456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 34287456 is about 5855.5491629735. The cubic root of 34287456 is about 324.8716052988.

It can be divided in two parts, 34287 and 456, that added together give a palindrome (34743).

The spelling of 34287456 in words is "thirty-four million, two hundred eighty-seven thousand, four hundred fifty-six".