3509961 has 48 divisors (see below), whose sum is σ = 6183936. Its totient is φ = 1729728.

The previous prime is 3509951. The next prime is 3509981. The reversal of 3509961 is 1699053.

3509961 = T₂₃₁ + T₂₃₂ + ... + T₃₂₁.

It is not a de Polignac number, because 3509961 - 2⁹ = 3509449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3509911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81606 + ... + 81648.

It is an arithmetic number, because the mean of its divisors is an integer number (128832).

Almost surely, 2^3509961 is an apocalyptic number.

It is an amenable number.

3509961 is a deficient number, since it is larger than the sum of its proper divisors (2673975).

3509961 is a wasteful number, since it uses less digits than its factorization.

3509961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 3509961 is about 1873.4889911606. The cubic root of 3509961 is about 151.9733477046.

The spelling of 3509961 in words is "three million, five hundred nine thousand, nine hundred sixty-one".