34634432 has 56 divisors (see below), whose sum is σ = 79455264. Its totient is φ = 14671872.

The previous prime is 34634419. The next prime is 34634437. The reversal of 34634432 is 23443643.

34634432 = T₂₁₈ + T₂₁₉ + ... + T₆₀₁.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 34634395 and 34634404.

It is not an unprimeable number, because it can be changed into a prime (34634437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43058 + ... + 43854.

It is an arithmetic number, because the mean of its divisors is an integer number (1418844).

Almost surely, 2^34634432 is an apocalyptic number.

34634432 is a gapful number since it is divisible by the number (32) 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 34634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39727632).

34634432 is an abundant number, since it is smaller than the sum of its proper divisors (44820832).

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

34634432 is an equidigital number, since it uses as much as digits as its factorization.

34634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its digits is 20736, while the sum is 29.

The square root of 34634432 is about 5885.1025479596. The cubic root of 34634432 is about 325.9637883674.

The spelling of 34634432 in words is "thirty-four million, six hundred thirty-four thousand, four hundred thirty-two".