34399728 has 200 divisors, whose sum is σ = 115230720. Its totient is φ = 9797760.

The previous prime is 34399727. The next prime is 34399753. The reversal of 34399728 is 82799343.

It is a happy number.

Its product of digits (326592) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34399727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270801 + ... + 270927.

Almost surely, 2^34399728 is an apocalyptic number.

34399728 is a gapful number since it is divisible by the number (38) 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 34399728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57615360).

34399728 is an abundant number, since it is smaller than the sum of its proper divisors (80830992).

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

34399728 is a wasteful number, since it uses less digits than its factorization.

34399728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 34399728 is about 5865.1281315927. The cubic root of 34399728 is about 325.2258091470.

The spelling of 34399728 in words is "thirty-four million, three hundred ninety-nine thousand, seven hundred twenty-eight".