34930764 has 108 divisors (see below), whose sum is σ = 100850568. Its totient is φ = 10585080.

The previous prime is 34930711. The next prime is 34930787. The reversal of 34930764 is 46703943.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34930764 is a `hidden beast` number, since 349 + 307 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3175519 + ... + 3175529.

Almost surely, 2^34930764 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 34930764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50425284).

34930764 is an abundant number, since it is smaller than the sum of its proper divisors (65919804).

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

34930764 is an frugal number, since it uses more digits than its factorization.

34930764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 34930764 is about 5910.2253764133. The cubic root of 34930764 is about 326.8907976406.

34930764 divided by its sum of digits (36) gives a cube (970299 = 99³).

It can be divided in two parts, 349 and 30764, that added together give a palindrome (31113).

The spelling of 34930764 in words is "thirty-four million, nine hundred thirty thousand, seven hundred sixty-four".