34287264 has 144 divisors (see below), whose sum is σ = 108501120. Its totient is φ = 10183680.

The previous prime is 34287247. The next prime is 34287277. The reversal of 34287264 is 46278243.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250204 + ... + 250340.

It is an arithmetic number, because the mean of its divisors is an integer number (753480).

Almost surely, 2^34287264 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 34287264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54250560).

34287264 is an abundant number, since it is smaller than the sum of its proper divisors (74213856).

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

34287264 is a wasteful number, since it uses less digits than its factorization.

34287264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 34287264 is about 5855.5327682458. The cubic root of 34287264 is about 324.8709989014.

The spelling of 34287264 in words is "thirty-four million, two hundred eighty-seven thousand, two hundred sixty-four".