34513864 has 64 divisors (see below), whose sum is σ = 82621440. Its totient is φ = 13124160.

The previous prime is 34513849. The next prime is 34513873. The reversal of 34513864 is 46831543.

It is a happy number.

It is a super-3 number, since 3×34513864³ (a number of 24 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 25837 + ... + 27139.

It is an arithmetic number, because the mean of its divisors is an integer number (1290960).

Almost surely, 2^34513864 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 34513864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41310720).

34513864 is an abundant number, since it is smaller than the sum of its proper divisors (48107576).

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

34513864 is a wasteful number, since it uses less digits than its factorization.

34513864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

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

The square root of 34513864 is about 5874.8501257479. The cubic root of 34513864 is about 325.5851045713.

The spelling of 34513864 in words is "thirty-four million, five hundred thirteen thousand, eight hundred sixty-four".