34730928 has 120 divisors (see below), whose sum is σ = 102136320. Its totient is φ = 11007360.

The previous prime is 34730921. The next prime is 34730933. The reversal of 34730928 is 82903743.

34730928 is a `hidden beast` number, since 347 + 309 + 2 + 8 = 666.

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 = 34730892 and 34730901.

It is not an unprimeable number, because it can be changed into a prime (34730921) 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, 439593 + ... + 439671.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 2^34730928 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 34730928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

34730928 is an abundant number, since it is smaller than the sum of its proper divisors (67405392).

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

34730928 is a wasteful number, since it uses less digits than its factorization.

34730928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34730928 is about 5893.2951733305. The cubic root of 34730928 is about 326.2662333932.

The spelling of 34730928 in words is "thirty-four million, seven hundred thirty thousand, nine hundred twenty-eight".