3533904 has 120 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 1013760.

The previous prime is 3533903. The next prime is 3533921. The reversal of 3533904 is 4093353.

3533904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3533903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36384 + ... + 36480.

Almost surely, 2^3533904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3533904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

3533904 is an abundant number, since it is smaller than the sum of its proper divisors (7840368).

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

3533904 is a wasteful number, since it uses less digits than its factorization.

3533904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3533904 is about 1879.8680804780. The cubic root of 3533904 is about 152.3181241236.

The spelling of 3533904 in words is "three million, five hundred thirty-three thousand, nine hundred four".