34403628 has 72 divisors (see below), whose sum is σ = 95210752. Its totient is φ = 9471168.

The previous prime is 34403617. The next prime is 34403639. The reversal of 34403628 is 82630443.

It is an interprime number because it is at equal distance from previous prime (34403617) and next prime (34403639).

It is a junction number, because it is equal to n+sod(n) for n = 34403595 and 34403604.

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, 70401 + ... + 70887.

Almost surely, 2^34403628 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 34403628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47605376).

34403628 is an abundant number, since it is smaller than the sum of its proper divisors (60807124).

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

34403628 is a wasteful number, since it uses less digits than its factorization.

34403628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34403628 is about 5865.4605957248. The cubic root of 34403628 is about 325.2380992900.

The spelling of 34403628 in words is "thirty-four million, four hundred three thousand, six hundred twenty-eight".