34268364 has 72 divisors (see below), whose sum is σ = 95855760. Its totient is φ = 10253952.

The previous prime is 34268357. The next prime is 34268371. The reversal of 34268364 is 46386243.

It is a happy number.

34268364 is a `hidden beast` number, since 34 + 268 + 364 = 666.

It is an interprime number because it is at equal distance from previous prime (34268357) and next prime (34268371).

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

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, 16327 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (1331330).

Almost surely, 2^34268364 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 34268364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47927880).

34268364 is an abundant number, since it is smaller than the sum of its proper divisors (61587396).

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

34268364 is a wasteful number, since it uses less digits than its factorization.

34268364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2034 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34268364 is about 5853.9186875118. The cubic root of 34268364 is about 324.8112955822.

The spelling of 34268364 in words is "thirty-four million, two hundred sixty-eight thousand, three hundred sixty-four".