34986960 has 60 divisors (see below), whose sum is σ = 117500292. Its totient is φ = 9329664.

The previous prime is 34986953. The next prime is 34987009. The reversal of 34986960 is 6968943.

34986960 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 2 ways, for example, as 16941456 + 18045504 = 4116^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 23577 + ... + 25016.

Almost surely, 2^34986960 is an apocalyptic number.

34986960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34986960 is an abundant number, since it is smaller than the sum of its proper divisors (82513332).

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

34986960 is a wasteful number, since it uses less digits than its factorization.

34986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48612 (or 48603 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 34986960 is about 5914.9775992813. The cubic root of 34986960 is about 327.0660024445.

The spelling of 34986960 in words is "thirty-four million, nine hundred eighty-six thousand, nine hundred sixty".