3960033 has 48 divisors (see below), whose sum is σ = 7004160. Its totient is φ = 1965600.

The previous prime is 3960029. The next prime is 3960049. The reversal of 3960033 is 3300693.

It is not a de Polignac number, because 3960033 - 2² = 3960029 is a prime.

It is a super-2 number, since 2×3960033² = 31363722722178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3959985 and 3960012.

It is not an unprimeable number, because it can be changed into a prime (3960053) 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, 50088 + ... + 50166.

It is an arithmetic number, because the mean of its divisors is an integer number (145920).

Almost surely, 2^3960033 is an apocalyptic number.

3960033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3960033 is a deficient number, since it is larger than the sum of its proper divisors (3044127).

3960033 is a wasteful number, since it uses less digits than its factorization.

3960033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 3960033 is about 1989.9831657579. The cubic root of 3960033 is about 158.2096373381.

The spelling of 3960033 in words is "three million, nine hundred sixty thousand, thirty-three".