34268464 has 30 divisors (see below), whose sum is σ = 70540004. Its totient is φ = 16124160.

The previous prime is 34268461. The next prime is 34268467. The reversal of 34268464 is 46486243.

It is an interprime number because it is at equal distance from previous prime (34268461) and next prime (34268467).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34268461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 919 + ... + 8329.

Almost surely, 2^34268464 is an apocalyptic number.

34268464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34268464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35270002).

34268464 is an abundant number, since it is smaller than the sum of its proper divisors (36271540).

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

34268464 is a wasteful number, since it uses less digits than its factorization.

34268464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7453 (or 7430 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

The square root of 34268464 is about 5853.9272287927. The cubic root of 34268464 is about 324.8116115305.

The spelling of 34268464 in words is "thirty-four million, two hundred sixty-eight thousand, four hundred sixty-four".