34441368 has 64 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 10412160.

The previous prime is 34441367. The next prime is 34441369. The reversal of 34441368 is 86314443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34441367) and next prime (34441369).

It is a super-2 number, since 2×34441368² = 2372415659422848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17473 + ... + 19343.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^34441368 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 34441368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

34441368 is an abundant number, since it is smaller than the sum of its proper divisors (59907432).

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

34441368 is a wasteful number, since it uses less digits than its factorization.

34441368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1948 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 34441368 is about 5868.6768525793. The cubic root of 34441368 is about 325.3569821040.

The spelling of 34441368 in words is "thirty-four million, four hundred forty-one thousand, three hundred sixty-eight".