3038961 has 16 divisors (see below), whose sum is σ = 4290048. Its totient is φ = 1910400.

The previous prime is 3038951. The next prime is 3038963. The reversal of 3038961 is 1698303.

It is not a de Polignac number, because 3038961 - 2⁶ = 3038897 is a prime.

It is a super-3 number, since 3×3038961³ = 84197003330729693043, which contains 333 as substring.

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

3038961 is a modest number, since divided by 38961 gives 3 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3038963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3415 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 2^3038961 is an apocalyptic number.

3038961 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3038961 is a deficient number, since it is larger than the sum of its proper divisors (1251087).

3038961 is a wasteful number, since it uses less digits than its factorization.

3038961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3038961 is about 1743.2615982692. The cubic root of 3038961 is about 144.8466233928.

The spelling of 3038961 in words is "three million, thirty-eight thousand, nine hundred sixty-one".