34961010 has 96 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 7515648.

The previous prime is 34961009. The next prime is 34961023. The reversal of 34961010 is 1016943.

34961010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24291 + ... + 25689.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^34961010 is an apocalyptic number.

34961010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34961010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

34961010 is an abundant number, since it is smaller than the sum of its proper divisors (68459790).

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

34961010 is a wasteful number, since it uses less digits than its factorization.

34961010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 34961010 is about 5912.7836084200. The cubic root of 34961010 is about 326.9851202910.

Adding to 34961010 its reverse (1016943), we get a palindrome (35977953).

The spelling of 34961010 in words is "thirty-four million, nine hundred sixty-one thousand, ten".