34135864 has 64 divisors (see below), whose sum is σ = 80870400. Its totient is φ = 13161984.

The previous prime is 34135853. The next prime is 34135873. The reversal of 34135864 is 46853143.

It is a happy number.

It is a super-2 number, since 2×34135864² = 2330514422052992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21117 + ... + 22675.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^34135864 is an apocalyptic number.

34135864 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 34135864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40435200).

34135864 is an abundant number, since it is smaller than the sum of its proper divisors (46734536).

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

34135864 is a wasteful number, since it uses less digits than its factorization.

34135864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1608 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 34135864 is about 5842.5905213355. The cubic root of 34135864 is about 324.3921229126.

The spelling of 34135864 in words is "thirty-four million, one hundred thirty-five thousand, eight hundred sixty-four".