34958664 has 120 divisors (see below), whose sum is σ = 108602910. Its totient is φ = 10123776.

The previous prime is 34958633. The next prime is 34958711. The reversal of 34958664 is 46685943.

34958664 is a `hidden beast` number, since 3 + 4 + 9 + 586 + 64 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1988100 + 32970564 = 1410^2 + 5742^2 .

Its product of digits (622080) is a multiple of the sum of its prime factors (81).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2056384 + ... + 2056400.

Almost surely, 2^34958664 is an apocalyptic number.

34958664 is a gapful number since it is divisible by the number (34) 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 34958664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54301455).

34958664 is an abundant number, since it is smaller than the sum of its proper divisors (73644246).

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

34958664 is a wasteful number, since it uses less digits than its factorization.

34958664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 35 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 34958664 is about 5912.5852213731. The cubic root of 34958664 is about 326.9778061979.

The spelling of 34958664 in words is "thirty-four million, nine hundred fifty-eight thousand, six hundred sixty-four".