34812414 has 96 divisors (see below), whose sum is σ = 94820544. Its totient is φ = 8985600.

The previous prime is 34812397. The next prime is 34812431. The reversal of 34812414 is 41421843.

It is an interprime number because it is at equal distance from previous prime (34812397) and next prime (34812431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86614 + ... + 87014.

It is an arithmetic number, because the mean of its divisors is an integer number (987714).

It is a vampire number, since it can be written as 4134 ⋅ 8421 (with its own digits).

Almost surely, 2^34812414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34812414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47410272).

34812414 is an abundant number, since it is smaller than the sum of its proper divisors (60008130).

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

34812414 is a wasteful number, since it uses less digits than its factorization.

34812414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34812414 is about 5900.2045727246. The cubic root of 34812414 is about 326.5211969725.

The spelling of 34812414 in words is "thirty-four million, eight hundred twelve thousand, four hundred fourteen".