34961076 has 18 divisors (see below), whose sum is σ = 88373922. Its totient is φ = 11653680.

The previous prime is 34961063. The next prime is 34961077. The reversal of 34961076 is 67016943.

34961076 is a `hidden beast` number, since 34 + 9 + 610 + 7 + 6 = 666.

34961076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23912100 + 11048976 = 4890^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 971141 = 34961076 / (3 + 4 + 9 + 6 + 1 + 0 + 7 + 6).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34961076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34961077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 485535 + ... + 485606.

Almost surely, 2^34961076 is an apocalyptic number.

34961076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34961076 is an abundant number, since it is smaller than the sum of its proper divisors (53412846).

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

34961076 is a wasteful number, since it uses less digits than its factorization.

34961076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971151 (or 971146 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 34961076 is about 5912.7891895450. The cubic root of 34961076 is about 326.9853260536.

It can be divided in two parts, 349 and 61076, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 34961076 in words is "thirty-four million, nine hundred sixty-one thousand, seventy-six".