34363728 has 120 divisors (see below), whose sum is σ = 111653568. Its totient is φ = 9662976.

The previous prime is 34363709. The next prime is 34363729. The reversal of 34363728 is 82736343.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34363692 and 34363701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34363729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73351 + ... + 73817.

Almost surely, 2^34363728 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 34363728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55826784).

34363728 is an abundant number, since it is smaller than the sum of its proper divisors (77289840).

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

34363728 is a wasteful number, since it uses less digits than its factorization.

34363728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 34363728 is about 5862.0583415725. The cubic root of 34363728 is about 325.1123177868.

The spelling of 34363728 in words is "thirty-four million, three hundred sixty-three thousand, seven hundred twenty-eight".