3338405532 has 144 divisors (see below), whose sum is σ = 11140077312. Its totient is φ = 816099840.

The previous prime is 3338405519. The next prime is 3338405563. The reversal of 3338405532 is 2355048333.

3338405532 is a `hidden beast` number, since 33 + 38 + 40 + 553 + 2 = 666.

3338405532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3338405532² = 22289902992176406048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11703 + ... + 82545.

It is an arithmetic number, because the mean of its divisors is an integer number (77361648).

Almost surely, 2^3338405532 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 3338405532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570038656).

3338405532 is an abundant number, since it is smaller than the sum of its proper divisors (7801671780).

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

3338405532 is a wasteful number, since it uses less digits than its factorization.

3338405532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70888 (or 70883 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3338405532 is about 57778.9367503418. The cubic root of 3338405532 is about 1494.5588840363.

The spelling of 3338405532 in words is "three billion, three hundred thirty-eight million, four hundred five thousand, five hundred thirty-two".