34407828 has 144 divisors (see below), whose sum is σ = 111296640. Its totient is φ = 9051264.

The previous prime is 34407787. The next prime is 34407829. The reversal of 34407828 is 82870443.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34407792 and 34407801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34407829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88258 + ... + 88646.

Almost surely, 2^34407828 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 34407828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55648320).

34407828 is an abundant number, since it is smaller than the sum of its proper divisors (76888812).

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

34407828 is a wasteful number, since it uses less digits than its factorization.

34407828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 34407828 is about 5865.8186129474. The cubic root of 34407828 is about 325.2513337899.

The spelling of 34407828 in words is "thirty-four million, four hundred seven thousand, eight hundred twenty-eight".