34434630 has 48 divisors (see below), whose sum is σ = 91231920. Its totient is φ = 9008064.

The previous prime is 34434623. The next prime is 34434643. The reversal of 34434630 is 3643443.

It is a junction number, because it is equal to n+sod(n) for n = 34434594 and 34434603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161 + ... + 8379.

It is an arithmetic number, because the mean of its divisors is an integer number (1900665).

Almost surely, 2^34434630 is an apocalyptic number.

34434630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34434630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45615960).

34434630 is an abundant number, since it is smaller than the sum of its proper divisors (56797290).

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

34434630 is a wasteful number, since it uses less digits than its factorization.

34434630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 34434630 is about 5868.1027598364. The cubic root of 34434630 is about 325.3357634508.

The spelling of 34434630 in words is "thirty-four million, four hundred thirty-four thousand, six hundred thirty".